Question

Solve using quadratic formula:
(x+5)(x-6)=-26
simplify, use radicals as needed, express complex numbers in terms of i.

Answer 1

(x+5)(x-6) =-26
x^2-x -30 = -26
x^2 -x -4 = 0
x= (1+- sqrt(1+16))/2
x = (1+ sqrt(17))/2 or (1-sqrt(17))/2

Answer 2

\[\Large x = \frac{1}{2}(1-\sqrt{17}),\frac{1}{2}(1+\sqrt{17})\]