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

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!


Let .

That makes your equation look like this:



Solve the equation in 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, and , replace with and solve each expression for .

Write back and tell me how you made out.

RELATED QUESTIONS

how to solve this equation using substitution method? with checking. 1/x + 1/y=0 2/x +... (answered by Fombitz)
How to solve using the substitution method x^2+y=5 x-y+3=0 (answered by amarjeeth123)
Solve using the substitution method 1/3 x - 1/5 y = 7 1/6 x + 2/5 y = -4 Not sure... (answered by Alan3354)
Solve the system by using the substitution method x=1/4y-5/4 y=2/5x+14/5 (x,y)=( ,... (answered by checkley77)
Solve this system using the substitution method: y = 3x - 2; y = (1/2)x -... (answered by greenestamps)
Solve the following with substitution {{{ x^2-3x-sqrt(x^2-3x)=2 }}} My steps so far... (answered by greenestamps,htmentor)
Solve the system by using the substitution method: 1. y = (x + 3)^2 - 1 y = 2x + 5 (answered by josgarithmetic)
Can you please help me solve using the substitution method? x + y = 1 x + y =... (answered by checkley71)
Solve;x^2+5x-6=0 using graphical method. Solve; x^2-3x-8=0 by factorization. Solve; (answered by josgarithmetic)