All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
GMAT Exam  >  GMAT Questions  >  Which of the following has no real root?a)x2&... Start Learning for Free
Which of the following has no real root?
  • a)
    x2−5x+3√2=0
  • b)
    x2+4x−3√2=0
  • c)
    x2−4x+3√2=0
  • d)
    x2−4x−3√2=0
Correct answer is option 'C'. Can you explain this answer?
Clear all your GMAT doubts with EduRev
Verified Answer
Which of the following has no real root?a)x2−5x+3√2=0b)x2+...
View all questions of this test
Most Upvoted Answer
Which of the following has no real root?a)x2−5x+3√2=0b)x2+...
Explanation:

Given Quadratic Equations:
a) x² - 5x + 3√2 = 0
b) x² + 4x - 3√2 = 0
c) x² - 4x + 3√2 = 0
d) x² - 4x - 3√2 = 0

Real Root of a Quadratic Equation:
A quadratic equation ax² + bx + c = 0 has real roots if the discriminant b² - 4ac is greater than or equal to 0.

Calculating Discriminant for each equation:
a) Discriminant = (-5)² - 4*1*(3√2) = 25 - 12√2
b) Discriminant = 4² - 4*1*(-3√2) = 16 + 12√2
c) Discriminant = (-4)² - 4*1*(3√2) = 16 - 12√2
d) Discriminant = (-4)² - 4*1*(-3√2) = 16 + 12√2

Analysis:
- For equation (a), the discriminant is not equal to 0, so it has real roots.
- For equation (b), the discriminant is not equal to 0, so it has real roots.
- For equation (c), the discriminant is equal to 0, which means it has equal real roots.
- For equation (d), the discriminant is not equal to 0, so it has real roots.

Conclusion:
Therefore, the equation x² - 4x + 3√2 = 0 has no real roots as its discriminant is equal to 0.
Explore Courses for GMAT exam

Similar GMAT Doubts

Message 1:Message sent from a real estate agent to his clients10:15 AM - Good news! We have received an offer on your home. The offer is for $300,000. While I know this is quite a bit lower than your asking price, it is common for buyers to make an aggressively low bid to try to bring down the sellers price. Based on my experience, I expect that you can counter at a price of $345,000, and still end up agreeing on a price that is no lower than 10% below your asking price. Just let me know what you would like to do!Message 2:Message sent from clients to their real estate agent, in response to the agents 10:15 AM message10:52 AM - We are glad to hear that someone has made an offer on our home! You are right, though. Their offer is very low compared to our asking price. While we understand that is the nature of negotiation, we are reluctant to give so much ground that we end up at a price thats too low for us. After giving it some thought, we think that making a counter offer at $350,000 makes sense. That gives us room to negotiate more if the buyer wants to make another counter offer. Also, there are other concessions we would be willing to make besides price, if you think that might help us reach a deal. Please communicate our counter offer to the buyer, and let us know how it goes.Message 3:Message sent from a real estate agent to his clients, in response to their 10:52 AM message12:28 PM - I talked to the buyers agent, and it sounds as though they are willing to negotiate further on price, although the buyers have said that $350,000 is "a lot more than they can afford. I also mentioned your willingness to negotiate on items other than price, and they have expressed that making this sale happen no later than mid-August appeals to them, they can get settled before the new school year starts for their children. I expect that, if you offer them a price of $330,000 and agree to make the deal happen by early August, they will agree to a deal. Please let me know what you would like to do.Consider each of the following statement. Does the information in the three articles support the inference as stated?Statement :The home sellers asking price for their home is at least $380,000.

Message 1:Message sent from a real estate agent to his clients10:15 AM - Good news! We have received an offer on your home. The offer is for $300,000. While I know this is quite a bit lower than your asking price, it is common for buyers to make an aggressively low bid to try to bring down the sellers price. Based on my experience, I expect that you can counter at a price of $345,000, and still end up agreeing on a price that is no lower than 10% below your asking price. Just let me know what you would like to do!Message 2:Message sent from clients to their real estate agent, in response to the agents 10:15 AM message10:52 AM - We are glad to hear that someone has made an offer on our home! You are right, though. Their offer is very low compared to our asking price. While we understand that is the nature of negotiation, we are reluctant to give so much ground that we end up at a price thats too low for us. After giving it some thought, we think that making a counter offer at $350,000 makes sense. That gives us room to negotiate more if the buyer wants to make another counter offer. Also, there are other concessions we would be willing to make besides price, if you think that might help us reach a deal. Please communicate our counter offer to the buyer, and let us know how it goes.Message 3:Message sent from a real estate agent to his clients, in response to their 10:52 AM message12:28 PM - I talked to the buyers agent, and it sounds as though they are willing to negotiate further on price, although the buyers have said that $350,000 is "a lot more than they can afford. I also mentioned your willingness to negotiate on items other than price, and they have expressed that making this sale happen no later than mid-August appeals to them, they can get settled before the new school year starts for their children. I expect that, if you offer them a price of $330,000 and agree to make the deal happen by early August, they will agree to a deal. Please let me know what you would like to do.Consider each of the following statement. Does the information in the three articles support the inference as stated?Statement :The sellers real estate agent is more likely to accept a lower final price of the home than are the sellers themselves

Message 1:Message sent from a real estate agent to his clients10:15 AM - Good news! We have received an offer on your home. The offer is for $300,000. While I know this is quite a bit lower than your asking price, it is common for buyers to make an aggressively low bid to try to bring down the sellers price. Based on my experience, I expect that you can counter at a price of $345,000, and still end up agreeing on a price that is no lower than 10% below your asking price. Just let me know what you would like to do!Message 2:Message sent from clients to their real estate agent, in response to the agents 10:15 AM message10:52 AM - We are glad to hear that someone has made an offer on our home! You are right, though. Their offer is very low compared to our asking price. While we understand that is the nature of negotiation, we are reluctant to give so much ground that we end up at a price thats too low for us. After giving it some thought, we think that making a counter offer at $350,000 makes sense. That gives us room to negotiate more if the buyer wants to make another counter offer. Also, there are other concessions we would be willing to make besides price, if you think that might help us reach a deal. Please communicate our counter offer to the buyer, and let us know how it goes.Message 3:Message sent from a real estate agent to his clients, in response to their 10:52 AM message12:28 PM - I talked to the buyers agent, and it sounds as though they are willing to negotiate further on price, although the buyers have said that $350,000 is "a lot more than they can afford. I also mentioned your willingness to negotiate on items other than price, and they have expressed that making this sale happen no later than mid-August appeals to them, they can get settled before the new school year starts for their children. I expect that, if you offer them a price of $330,000 and agree to make the deal happen by early August, they will agree to a deal. Please let me know what you would like to do.Consider each of the following statement. Does the information in the three articles support the inference as stated?Statement :It is possible for the buyers and sellers to make a deal in which neither side needs to change its opening offer by more than 15%

Top Courses for GMATView all

Top Courses for GMAT

Which of the following has no real root?a)x2−5x+3√2=0b)x2+4x−3√2=0c)x2−4x+3√2=0d)x2−4x−3√2=0Correct answer is option 'C'. Can you explain this answer?
Question Description
Which of the following has no real root?a)x2−5x+3√2=0b)x2+4x−3√2=0c)x2−4x+3√2=0d)x2−4x−3√2=0Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Which of the following has no real root?a)x2−5x+3√2=0b)x2+4x−3√2=0c)x2−4x+3√2=0d)x2−4x−3√2=0Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following has no real root?a)x2−5x+3√2=0b)x2+4x−3√2=0c)x2−4x+3√2=0d)x2−4x−3√2=0Correct answer is option 'C'. Can you explain this answer?.
Solutions for Which of the following has no real root?a)x2−5x+3√2=0b)x2+4x−3√2=0c)x2−4x+3√2=0d)x2−4x−3√2=0Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of Which of the following has no real root?a)x2−5x+3√2=0b)x2+4x−3√2=0c)x2−4x+3√2=0d)x2−4x−3√2=0Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Which of the following has no real root?a)x2−5x+3√2=0b)x2+4x−3√2=0c)x2−4x+3√2=0d)x2−4x−3√2=0Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Which of the following has no real root?a)x2−5x+3√2=0b)x2+4x−3√2=0c)x2−4x+3√2=0d)x2−4x−3√2=0Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Which of the following has no real root?a)x2−5x+3√2=0b)x2+4x−3√2=0c)x2−4x+3√2=0d)x2−4x−3√2=0Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Which of the following has no real root?a)x2−5x+3√2=0b)x2+4x−3√2=0c)x2−4x+3√2=0d)x2−4x−3√2=0Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam

Top Courses for GMAT

Explore Courses
SaveJoin the Discussion on the App for FREE
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup