Class 10 Exam > Class 10 Questions > Use the quadratic formula to find the values ...
Start Learning for Free
Use the quadratic formula to find the values of x for the equation:
x2 - 4x - 10 = 0
x2 - 4x - 10 = 0
- a)x = 5.74 and x = -1.74
- b)x = 1.74 and x = -5.74
- c)Non real answer
- d)x = .45 and x = - 4.45
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Use the quadratic formula to find the values of x for the equation:x2 ...
Given a quadratic equation of the form
ax2 + bx + c = 0
the quadratic roots can be evaluated using the formula
For x2 − 4x + 10 = 0
∴ x = 5.74 and x = -1.74
ax2 + bx + c = 0
the quadratic roots can be evaluated using the formula
For x2 − 4x + 10 = 0
∴ x = 5.74 and x = -1.74
Free Test
FREE
| Start Free Test |
Community Answer
Use the quadratic formula to find the values of x for the equation:x2 ...
To solve the equation x^2 - 4x - 10 = 0 using the quadratic formula, we first need to identify the coefficients of the equation. In this case, the coefficient of x^2 is 1, the coefficient of x is -4, and the constant term is -10.
The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
Where a, b, and c are the coefficients of the quadratic equation.
1. Identify the values of a, b, and c:
- a = 1
- b = -4
- c = -10
2. Substitute the values into the quadratic formula:
x = (-(-4) ± √((-4)^2 - 4(1)(-10))) / (2(1))
3. Simplify the equation:
x = (4 ± √(16 + 40)) / 2
x = (4 ± √56) / 2
x = (4 ± 2√14) / 2
4. Simplify further:
x = (2(2 ± √14)) / 2
x = 2 ± √14
So the two solutions for x are:
- x = 2 + √14
- x = 2 - √14
However, these solutions are not the same as the options provided in the question. To find the correct answer, we can approximate the values of x using a calculator.
- x ≈ 2 + √14 ≈ 5.74
- x ≈ 2 - √14 ≈ -1.74
Comparing these approximate values to the options given, we can see that option A is the correct answer:
a) x = 5.74 and x = -1.74
Therefore, the correct answer is option A.
The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
Where a, b, and c are the coefficients of the quadratic equation.
1. Identify the values of a, b, and c:
- a = 1
- b = -4
- c = -10
2. Substitute the values into the quadratic formula:
x = (-(-4) ± √((-4)^2 - 4(1)(-10))) / (2(1))
3. Simplify the equation:
x = (4 ± √(16 + 40)) / 2
x = (4 ± √56) / 2
x = (4 ± 2√14) / 2
4. Simplify further:
x = (2(2 ± √14)) / 2
x = 2 ± √14
So the two solutions for x are:
- x = 2 + √14
- x = 2 - √14
However, these solutions are not the same as the options provided in the question. To find the correct answer, we can approximate the values of x using a calculator.
- x ≈ 2 + √14 ≈ 5.74
- x ≈ 2 - √14 ≈ -1.74
Comparing these approximate values to the options given, we can see that option A is the correct answer:
a) x = 5.74 and x = -1.74
Therefore, the correct answer is option A.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Use the quadratic formula to find the values of x for the equation:x2 - 4x - 10 =0a)x = 5.74 and x = -1.74b)x = 1.74 and x = -5.74c)Non real answerd)x = .45 and x = - 4.45Correct answer is option 'A'. Can you explain this answer?
Question Description
Use the quadratic formula to find the values of x for the equation:x2 - 4x - 10 =0a)x = 5.74 and x = -1.74b)x = 1.74 and x = -5.74c)Non real answerd)x = .45 and x = - 4.45Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Use the quadratic formula to find the values of x for the equation:x2 - 4x - 10 =0a)x = 5.74 and x = -1.74b)x = 1.74 and x = -5.74c)Non real answerd)x = .45 and x = - 4.45Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Use the quadratic formula to find the values of x for the equation:x2 - 4x - 10 =0a)x = 5.74 and x = -1.74b)x = 1.74 and x = -5.74c)Non real answerd)x = .45 and x = - 4.45Correct answer is option 'A'. Can you explain this answer?.
Use the quadratic formula to find the values of x for the equation:x2 - 4x - 10 =0a)x = 5.74 and x = -1.74b)x = 1.74 and x = -5.74c)Non real answerd)x = .45 and x = - 4.45Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Use the quadratic formula to find the values of x for the equation:x2 - 4x - 10 =0a)x = 5.74 and x = -1.74b)x = 1.74 and x = -5.74c)Non real answerd)x = .45 and x = - 4.45Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Use the quadratic formula to find the values of x for the equation:x2 - 4x - 10 =0a)x = 5.74 and x = -1.74b)x = 1.74 and x = -5.74c)Non real answerd)x = .45 and x = - 4.45Correct answer is option 'A'. Can you explain this answer?.
Solutions for Use the quadratic formula to find the values of x for the equation:x2 - 4x - 10 =0a)x = 5.74 and x = -1.74b)x = 1.74 and x = -5.74c)Non real answerd)x = .45 and x = - 4.45Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Use the quadratic formula to find the values of x for the equation:x2 - 4x - 10 =0a)x = 5.74 and x = -1.74b)x = 1.74 and x = -5.74c)Non real answerd)x = .45 and x = - 4.45Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Use the quadratic formula to find the values of x for the equation:x2 - 4x - 10 =0a)x = 5.74 and x = -1.74b)x = 1.74 and x = -5.74c)Non real answerd)x = .45 and x = - 4.45Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Use the quadratic formula to find the values of x for the equation:x2 - 4x - 10 =0a)x = 5.74 and x = -1.74b)x = 1.74 and x = -5.74c)Non real answerd)x = .45 and x = - 4.45Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Use the quadratic formula to find the values of x for the equation:x2 - 4x - 10 =0a)x = 5.74 and x = -1.74b)x = 1.74 and x = -5.74c)Non real answerd)x = .45 and x = - 4.45Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Use the quadratic formula to find the values of x for the equation:x2 - 4x - 10 =0a)x = 5.74 and x = -1.74b)x = 1.74 and x = -5.74c)Non real answerd)x = .45 and x = - 4.45Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup