SOLUTION: What is "x times the square root of 3 minus x equals 7"?

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Question 827404: What is "x times the square root of 3 minus x equals 7"?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
x%2Asqrt%283%29+-+x+=+7
x%2Asqrt%283%29++=x%2B+7 ............square both sides
%28x%2Asqrt%283%29%29%5E2++=%28x%2B+7%29%5E2

x%5E2%2A3++=x%5E2%2B14x%2B+49
3x%5E2+-x%5E2-14x-49=0
2x%5E2-14x-49=0..............now you can solve for x using quadratic formula

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

x+=+%28-%28-14%29+%2B-+sqrt%28+%28-14%29%5E2-4%2A2%2A%28-49%29+%29%29%2F%282%2A2%29+

x+=+%2814+%2B-+sqrt%28+196%2B392+%29%29%2F4+

x+=+%2814+%2B-+sqrt%28+588+%29%29%2F4+

x+=+%2814+%2B-+24.24871130596428+%29%2F4+

solutions:
x+=+%2814+%2B+24.24871130596428+%29%2F4+
x+=+38.24871130596428%2F4+
x=9.562177826491071
x=9.6
or
x+=+%2814+-+24.24871130596428+%29%2F4+
x+=+-10.24871130596428%2F4+
x=-2.56217782649107
x=-2.6