Saturday, November 23, 2013

solve for x. sqrt(2x-14) -sqrt (x) + 4 = 3

Your Answer:
sqrt%282x-14%29+-+sqrt%28x%29+%2B+4+=+3
sqrt%282x-14%29-sqrt%282x-14%29+-+sqrt%28x%29+%2B+4-3+=3-3+-sqrt%282x-14%29

1+-+sqrt%28x%29++=-sqrt%282x-14%29


squaring...
%281+-+sqrt%28x%29+%29%5E2+=%28-sqrt%282x-14%29%29%5E2



rearranging then squaring again...
%0D%0A1-2sqrt%28x%29%2Bx=2x-14%0D%0A


%0D%0A-2sqrt%28x%29=x-15%0D%0A


%0D%0A%282sqrt%28x%29%29%5E2=%28x-15%29%5E2%0D%0A


%0D%0A4x=x%5E2-30x%2B225%0D%0A

%0D%0Ax%5E2-34x%2B225=0%0D%0A

%28x-9%29%28x-25%29=0

After testing we find that x=25 does not work so our only solution is x=9





:)
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