Question

Solve the equation
(u-1)^2=2u^2-3u-29
for u .

Answer 1

This was answered the first time you posted it. I pasted the answer below.

(u - 1)^2 = 2u^2 - 3u - 29
u^2 - 2u + 1 = 2u^2 - 3u - 29
u^2 - u - 30 = 0

This does not factor.
Solve by using the quadratic formula or the method of completing the square.

Post your answer and someone will check it for you.

Answer 2

I got 1 +or- the sqrt 90/2

Answer 3

u^2 - u - 30 = 0

Using the quadratic formula,
x =(-b +- (sqrt(b^2 - 4ac))/2a

a = 1, b = -1, c = -30
x = 1 +- (sqrt(-1^2 - 4(1)(-30))/2
x = (1 +- (sqrt(1 + 120))/2
x = (1 +- (sqrt(121))/2
x = (1 +- 11)/2
x = (1 + 11)/2 = 6
x = (1 - 11)/2 = -5