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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?
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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
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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.
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