Question

Which of the following is a solution to the quadratic equation −x2+3x=−5
? Assume that the solution has been rounded to the nearest hundredth, if applicable.

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(1 point)

x = 4.19

x = 0.82

x = 5.23

x = -1.75
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Answer 1

Solve −x^2 + 3x = −5 → x^2 − 3x − 5 = 0.
x = [3 ± sqrt(9 + 20)]/2 = [3 ± sqrt(29)]/2 ≈ 4.1926 or −1.1926.

So the matching choice is x = 4.19.