SOLUTION: 5<superscript>x.x.(8<superscript>x-1)<superscript>1/2=500

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Question 198814: 5x.x.(8x-1)1/2=500
Answer by pannalal(9) About Me  (Show Source):
You can put this solution on YOUR website!
%2840%2Ax%5E3+-+5%2Ax%5E2%29%2F2+=+500
GCD of 40x^3 - 5x^2 and 500 is 5
On Dividing both sides by 5, we get
%288x%5E3+-+x%5E2%29%2F2+=+100+
On Cross Multiplication, we get:
8x^3 - x^2 = 200
8x^3 - x^2 - 200 = 0
Value of x are:
2.9662837858
-1.4206418929 + 2.5317643328i
-1.4206418929 - 2.5317643328i