SOLUTION: solve 2h^2-h-3=0

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Question 119794: solve 2h^2-h-3=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2h%5E2-h-3=0 Start with the given equation

%282h-3%29%28h%2B1%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:
2h-3=0 or h%2B1=0

h=3%2F2 or h=-1 Now solve for h in each case


So our answer is
h=3%2F2 or h=-1


Notice if we graph y=2h%5E2-h-3 we can see that the roots are h=3%2F2 and h=-1 . So this visually verifies our answer.


+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C0%2C+2x%5E2-x-3%29+