SOLUTION: Solve each equation 1/18h^2 - 1/2h + 1 = 0

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve each equation 1/18h^2 - 1/2h + 1 = 0      Log On


   



Question 35561: Solve each equation
1/18h^2 - 1/2h + 1 = 0

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve: Hint, write the fractions in parentheses like this: (1/18)h^2
%281%2F18%29h%5E2+-+%281%2F2%29h+%2B+1+=+0 Multiply through by 18 (the LCD) to clear the fractions.
h%5E2+-+9h+%2B+18+=+0 Now factor the quadratic equation.
%28h+-+3%29%28h+-+6%29+=+0 Apply the zero products principle.
h+-+3+=+0 and/or h+-+6+=+0
If h+-+3+=+0 then h+=+3
If h+-+6+=+0 then h+=+6
The roots are:
h = 3
h = 6