SOLUTION: Solve the following equation by first multiplying both sides by the LCD and then applying the quadratic formula to the result. (Enter solutions from smallest to largest.) 1/2x^

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve the following equation by first multiplying both sides by the LCD and then applying the quadratic formula to the result. (Enter solutions from smallest to largest.) 1/2x^      Log On


   

Question 442077: Solve the following equation by first multiplying both sides by the LCD and then applying the quadratic formula to the result. (Enter solutions from smallest to largest.)
1/2x^2-1/2x-15/32=0
x = ?
x = ?
Please show me the steps to get the answer. Thanks
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F2%29x%5E2-%281%2F2%29x-15%2F32=0........LCD is 32
%281%2F2%29x%5E2%2A32-%281%2F2%29x%2A32-15%2A32%2F32=0


16x%5E2-16x-15=0....use quadratic formula to fine other two solutions
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+..notice that a=16, b=-16 and c=-15

x+=+%28-%28-16%29+%2B-+sqrt%28+%28-16%29%5E2-4%2A16%2A%28-15%29+%29%29%2F%282%2A16%29+

x+=+%2816+%2B-+sqrt%28+256%2B960+%29%29%2F32+

x+=+%2816+%2B-+sqrt%28+1216+%29%29%2F32+

x+=+%2816+%2B-+34.87%29%2F32+
x1+=+%2816+%2B+34.87%29%2F32+
x1+=+50.87%2F32+

x1+=+1.5896875+


x2+=+%2816+-+34.87%29%2F32+
x2+=+-18.87%2F32+

x2+=+-0.5896875+

check:
x1+=+1.5896875+
%281%2F2%29%281.5896875%29%5E2-%281%2F2%29%281.5896875%29-15%2F32=0
%281%2F2%29%282.52710%29-%281%2F2%29%281.5896%29-0.4687=0
%281.26355%29-%280.7948%29-0.4687=0
%280.46875%29-0.4687=0
0=0