SOLUTION: how is this rational prob done? 2x over 3x-4 = x-3 over x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: how is this rational prob done? 2x over 3x-4 = x-3 over x      Log On


   

Question 211011: how is this rational prob done?
2x over 3x-4 = x-3 over x
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
2x%2F%283x-4%29+=+%28x-3%29%2Fx Cross-multiply.
2x%28x%29+=+%283x-4%29%28x-3%29 Simplify.
2x%5E2+=+3x%5E2-13x%2B12 Subtract 2x%5E2 from both sides.
0+=+x%5E2-13x-12 Use the quadratic formula to solve:x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a In this problem, a = 1, b = -13, and c = -12. Make the appropriate substitutions:
x+=+%28-%28-13%29%2B-sqrt%28%28-13%29%5E2-4%281%29%28-12%29%29%29%2F2%281%29 Evaluate.
x+=+%2813%2B-sqrt%28169-%28-48%29%29%29%2F2%281%29
x+=+%2813%2B-sqrt%28217%29%29%2F2
highlight%28x+=+%2813%2Bsqrt%28217%29%29%2F2%29 or highlight%28x+=+%2813-sqrt%28217%29%29%2F2%29