SOLUTION: I'm having an issue finding the solutions for the following equation: {{{ sqrt ( -9x-9 ) + x = 1 }}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I'm having an issue finding the solutions for the following equation: {{{ sqrt ( -9x-9 ) + x = 1 }}}      Log On


   

Question 833907: I'm having an issue finding the solutions for the following equation:
+sqrt+%28+-9x-9+%29+%2B+x+=+1+
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt+%28+-9x-9+%29+%2B+x+=+1+
add - x to each side
+sqrt+%28+-9x-9+%29+=+-x+%2B+1+
square each side
-9x+-+9+=+x%5E2+-2x+%2B+1
add 9x + 9 to each side
+0+=+x%5E2+-2x+%2B+1+%2B9x+%2B+9+
+0+=+x%5E2+%2B+7x+%2B+10+
factor
+0+=+%28x%2B2%29%28x%2B5%29+
so x = -2 or x = -5
Plug -2 back into the original equation +sqrt+%28+-9x-9+%29+%2B+x+=+1+
+sqrt+%28+-9%28-2%29-9+%29+%2B+%28-2%29+=+1+
+sqrt+%28+18-9+%29+%2B+%28-2%29+=+1+
+sqrt+%28+9+%29+%2B+%28-2%29+=+1+
+3+%2B+%28-2%29+=+1+
So -2 works.
Plug -5 back into the original equation +sqrt+%28+-9x-9+%29+%2B+x+=+1+
+sqrt+%28+-9%28-5%29-9+%29+%2B+%28-5%29+=+1+
+sqrt+%28+45-9+%29+%2B+%28-5%29+=+1+
+sqrt+%28+36+%29+%2B+%28-5%29+=+1+
+6+%2B+%28-5%29+=+1+
-5 works.