SOLUTION: Here is my question: Find all possible solutions. Give your answeres in increasing order. sqrt(-3x+5)-5=9x Thanks so much!

Question 287428: Here is my question:
Find all possible solutions. Give your answeres in increasing order.
sqrt(-3x+5)-5=9x
Thanks so much!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Find all possible solutions. Give your answers in increasing order.

Add 5 to both sides

square both sides:
-3x + 5 = (9x+5)^2
FOIL the right side
-3x + 5 = 81x^2 + 90x + 25
:
Write as quadratic equation
0 = 81x^2 + 90x + 3x + 25 - 5
81x^2 + 93x + 20 = 0
Use the quadratic equation to find x;

In this problem a=81; b=93; c=20

Two solutions

:
x =
x = -.28659
and

:
x =
x = -.86156
:
Check both of these solutions in the original equation,
only x = -.28659 is a solution
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