UPSC Exam > UPSC Questions > Five times of a positive whole number is 3 le...
Start Learning for Free
Five times of a positive whole number is 3 less than twice the square of the number the number is?
Most Upvoted Answer
Five times of a positive whole number is 3 less than twice the square ...
Understanding the problem:
The problem states that five times a positive whole number is 3 less than twice the square of the number. We need to find the number that satisfies this condition.
Let's denote the unknown number as "x".
Translating the problem into an equation:
Given that five times the number is 3 less than twice the square of the number, we can write this as:
5x = 2x^2 - 3
Solving the equation:
We can rearrange the equation to form a quadratic equation:
2x^2 - 5x - 3 = 0
Now, we can solve this quadratic equation to find the value of x.
Using the quadratic formula:
x = [-(-5) ± √((-5)^2 - 4(2)(-3))] / 2(2)
x = [5 ± √(25 + 24)] / 4
x = [5 ± √49] / 4
x = [5 ± 7] / 4
This gives us two possible solutions:
x = (5 + 7) / 4 = 3
x = (5 - 7) / 4 = -0.5
Interpreting the solutions:
Since the problem specifies that the number is a positive whole number, we can discard the negative solution. Therefore, the positive whole number that satisfies the condition is x = 3.
The problem states that five times a positive whole number is 3 less than twice the square of the number. We need to find the number that satisfies this condition.
Let's denote the unknown number as "x".
Translating the problem into an equation:
Given that five times the number is 3 less than twice the square of the number, we can write this as:
5x = 2x^2 - 3
Solving the equation:
We can rearrange the equation to form a quadratic equation:
2x^2 - 5x - 3 = 0
Now, we can solve this quadratic equation to find the value of x.
Using the quadratic formula:
x = [-(-5) ± √((-5)^2 - 4(2)(-3))] / 2(2)
x = [5 ± √(25 + 24)] / 4
x = [5 ± √49] / 4
x = [5 ± 7] / 4
This gives us two possible solutions:
x = (5 + 7) / 4 = 3
x = (5 - 7) / 4 = -0.5
Interpreting the solutions:
Since the problem specifies that the number is a positive whole number, we can discard the negative solution. Therefore, the positive whole number that satisfies the condition is x = 3.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Top Courses for UPSCView all
Five times of a positive whole number is 3 less than twice the square of the number the number is?
Question Description
Five times of a positive whole number is 3 less than twice the square of the number the number is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Five times of a positive whole number is 3 less than twice the square of the number the number is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Five times of a positive whole number is 3 less than twice the square of the number the number is?.
Five times of a positive whole number is 3 less than twice the square of the number the number is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Five times of a positive whole number is 3 less than twice the square of the number the number is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Five times of a positive whole number is 3 less than twice the square of the number the number is?.
Solutions for Five times of a positive whole number is 3 less than twice the square of the number the number is? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Five times of a positive whole number is 3 less than twice the square of the number the number is? defined & explained in the simplest way possible. Besides giving the explanation of
Five times of a positive whole number is 3 less than twice the square of the number the number is?, a detailed solution for Five times of a positive whole number is 3 less than twice the square of the number the number is? has been provided alongside types of Five times of a positive whole number is 3 less than twice the square of the number the number is? theory, EduRev gives you an
ample number of questions to practice Five times of a positive whole number is 3 less than twice the square of the number the number is? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup