SOLUTION: Please help me solve this equation : {{{ 16= 6x + x^2 }}}

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Question 847385: Please help me solve this equation :
+16=+6x+%2B+x%5E2+
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
+16=+6x+%2B+x%5E2+

+0=+6x+%2B+x%5E2+-+16+

+6x+%2B+x%5E2+-+16+=+0+

+x%5E2+%2B+6x+-+16+=+0+

+%28x+%2B+8%29%28x+-+2%29+=+0+

+x+%2B+8+=+0 or x+-+2+=+0+

+x++=+-8 or x+=+2+

=======================================================

The two solutions are:

+x++=+-8 or x+=+2+

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
+16=+6x+%2B+x%5E2+.................rearrange the terms
+16=++x%5E2%2B6x+
++x%5E2%2B6x-16=0+............use quadratic formula

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

x+=+%28-6+%2B-+sqrt%28+6%5E2-4%2A1%2A%28-16%29+%29%29%2F%282%2A1%29+
x+=+%28-6+%2B-+sqrt%28+36%2B64+%29%29%2F2+
x+=+%28-6+%2B-+sqrt%28+100+%29%29%2F2+
x+=+%28-6+%2B-+10+%29%2F2+
solutions:

x+=+%28-6+%2B+10+%29%2F2+
x+=+4%2F2+
highlight%28x+=+2%29+
and
x+=+%28-6-+10+%29%2F2+
x+=+-16%2F2+
highlight%28x+=+-8%29+

see it on a graph:
+graph%28+600%2C+600%2C+-10%2C+10%2C+-30%2C+10%2C++x%5E2%2B6x-16%29+