SOLUTION: I need help with this problem. The book says to find all real and imaginary solutions by method of choice. Thank you 2x-5 = √7x+7

Algebra ->  Inequalities -> SOLUTION: I need help with this problem. The book says to find all real and imaginary solutions by method of choice. Thank you 2x-5 = √7x+7      Log On


   

Question 330393: I need help with this problem. The book says to find all real and imaginary solutions by method of choice. Thank you

2x-5 = √7x+7
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
2x-5=sqrt(7x+7) Assuming that this is the problem.
4x^2-20x+25=7x+7 Square each side.
4x^2-27x+18=0
4*18=72. the 2 factors of 72 whose sum is -27 are -24 and -3.
4x^2-3x-24x+18=0
x(4x-3)-6(4x-3)=0
(x-6)(4x-3)=0
.
x=6
4x=3, x=3/4
.
Ed