SOLUTION: Please help me... x - sqrt( 4-3x ) = -8 I know I'm supposed to get the radical by itself. But the answer I got differs from the book. Thank you in advance.

Algebra ->  Radicals -> SOLUTION: Please help me... x - sqrt( 4-3x ) = -8 I know I'm supposed to get the radical by itself. But the answer I got differs from the book. Thank you in advance.      Log On


   

Question 348713: Please help me...
x - sqrt( 4-3x ) = -8
I know I'm supposed to get the radical by itself. But the answer I got differs from the book. Thank you in advance.
Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x-+sqrt%28+4-3x+%29+=+-8
x%2B8=+sqrt%28+4-3x+%29
%28x%2B8%29%5E2=4-3x
x%5E2%2B16x%2B64=4-3x
x%5E2%2B19x%2B60=0
%28x%2B15%29%28x%2B4%29=0
Two solutions:
x%2B15=0
highlight%28x=-15%29
.
.
.
x%2B4=0
highlight%28x=-4%29

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!



Add to both sides:



Multiply both sides by -1



Square both sides:



Put it in standard form by collecting like terms on the left:



Factor:



Hence, or

Check the answers:



: TRUE



: FALSE. Exclude the extraneous root introduced by squaring the original equation.

John

My calculator said it, I believe it, that settles it
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