Solve: -5x^2 + 5 = -2x

Question

The solution contains a reduced fraction ± another reduced fraction with a radical numerator. What is this fraction with a radical numerator?

(A) ± (2√6 i)/5

(B) ± (2√26)/13

(C) ± (√26 i)/5

(D) ± (√26)/5

(E) none of these

Answer 1

-5x^2 + 2x + 5

5x^2 -2x -5 = 0

x = 2/10 + or - (1/10)sqr(4+100) = 1/5 + or - sqr(104)/10 = 1/5 + or - sqr26/5

=(1+sqr26)/5

C and D are sort of close, just off by .2, but E is best answer

Answer 2

-5x^2+5=-2x

-5x^2+2x+5=0

5x^2-2x-5=0

solve using quadratic formula

a= 5, b=-2 and c=-5

x₁=(1+sqrt(26))/5

x₂=(1+sqrt(26))/5

Answer: (E) none of these