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^2

Algebra ->  Quadratic Equations and Parabolas -> 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^2      Log On


   

Question 449466: 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 steps.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F2x%5E2%29-%281%2F2x%29-%2815%2F32%29=0
LCD = 32x%5E2
16+-16x-15x%5E2=0
Rewrite
15x%5E2%2B16x-16=0
Find the roots of the equation by quadratic formula

a= 15, b= 16, c= -16,

b^2-4ac=256+960
b^2-4ac=1216
sqrt(1216)=34.87
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=(-16+34.87)/ 30
x1= 0.63
x2=(-16 -34.87)/30
x2= -1.7