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x^2 + 9x - 14 = 0
A. 10.35, 1.35
B. 10.35, -1.35
C. -1.35, -1.35
D. -10.35, 1.35
Bot GPT 3.5
answered
To solve this quadratic equation, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a
Given equation: x^2 + 9x - 14 = 0
Here, a = 1, b = 9, and c = -14
Plugging the values into the quadratic formula:
x = (-9 ± √(9^2 - 4*1*(-14))) / 2*1
x = (-9 ± √(81 + 56)) / 2
x = (-9 ± √137) / 2
Therefore, the solutions are:
x = (-9 + √137) / 2 ≈ 1.35
x = (-9 - √137) / 2 ≈ -10.35
So, the correct answer is D. -10.35, 1.35