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

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Question 119797: Solve 1/18h^2-1/2h+1=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F18%29h%5E2-%281%2F2%29h%2B1=0 Start with the given equation



%2818%29%28%281%2F18%29h%5E2-%281%2F2%29h%2B1%29=%2818%29%280%29 Multiply both sides by the LCM of 18. This will eliminate the fractions


h%5E2-9h%2B18=0 Distribute and multiply the LCM to each side



%28h-6%29%28h-3%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
h-6=0 or h-3=0

h=6 or h=3 Now solve for h in each case


So our answer is
h=6 or h=3


Notice if we graph y=h%5E2-9h%2B18 we can see that the roots are h=6 and h=3 . So this visually verifies our answer.


+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%2C+x%5E2-9x%2B18%29+