SOLUTION: Please help me solve this: {{{ sqrt( 3x + 7 ) + sqrt( x + 6 ) = 3 }}} I moved the sqrt of 3x +7 to the other side and squared both sides and got as far as x= 5-3 sqrt( 3x + 7 )

Algebra ->  Radicals -> SOLUTION: Please help me solve this: {{{ sqrt( 3x + 7 ) + sqrt( x + 6 ) = 3 }}} I moved the sqrt of 3x +7 to the other side and squared both sides and got as far as x= 5-3 sqrt( 3x + 7 )      Log On


   

Question 930705: Please help me solve this: +sqrt%28+3x+%2B+7+%29+%2B+sqrt%28+x+%2B+6+%29+=+3+
I moved the sqrt of 3x +7 to the other side and squared both sides and got as far as x= 5-3 sqrt( 3x + 7 )
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+sqrt%28+3x+%2B+7+%29+%2B+sqrt%28+x+%2B+6+%29+=+3+
I moved the sqrt of 3x +7 to the other side and squared both sides and got as far as x= 5-3 sqrt( 3x + 7 )
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+sqrt%28+3x+%2B+7+%29+%2B+sqrt%28+x+%2B+6+%29+=+3+
+sqrt%28+x+%2B+6+%29+=+3+-+sqrt%283x%2B7%29
x+%2B+6+=+9+-+6sqrt%283x%2B7%29+%2B+3x%2B7
-2x+-+10+=+-6sqrt%283x%2B7%29
x+%2B+5+=+3sqrt%283x%2B7%29
Square again
x%5E2+%2B+10x+%2B+25+=+9%283x%2B7%29+=+27x+%2B+63
x%5E2+-+17x+-+38+=+0
(x+2)*(x-19) = 0