SOLUTION: how to solve using the U substitution method (x-1/2)^2 +5(x-1/2)-4=0

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Question 139233This question is from textbook
: how to solve using the U substitution method
(x-1/2)^2 +5(x-1/2)-4=0 This question is from textbook

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-1%2F2%29%5E2+%2B5%28x-1%2F2%29-4=0

Let u=x-1%2F2.

That makes your equation look like this:

u%5E2%2B5u-4=0

Solve the equation in u just like any other quadratic. Since it doesn't factor and the coefficient on the 1st degree term is odd, you might as well just use the quadratic formula.

You will get two answers, just like you always do when you solve a quadratic. In this case they will be real but irrational. Once you have your two expressions for the answers, u=r and u=s, replace u with x-1%2F2 and solve each expression for x.

Write back and tell me how you made out.