Question

Solve the equation −7x2−10=−12x
. (1 point)
Responses

±i34√7
plus or minus the fraction with numerator i square root of 34 and denominator 7

6±i34−−√
6±i34−−√

67±i34√7
6 sevenths plus or minus the fraction with numerator i square root of 34 and denominator 7

65±i34√5

Answer 1

Solve -7x^2 - 10 = -12x:
Rearrange: 7x^2 - 12x + 10 = 0.
Discriminant: Δ = (-12)^2 - 4·7·10 = 144 - 280 = -136 = -4·34.
x = [12 ± √(-136)]/(14) = [12 ± 2i√34]/14 = (6 ± i√34)/7.

So the correct choice is "6/7 ± (i√34)/7" (the third option).