SOLUTION: factor L(squared)-16L+60=0

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Question 109751: factor
L(squared)-16L+60=0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
L%5E2-16L%2B60=0 Start with the given expression

%28L-10%29%28L-6%29=0 Factor the left side (note: if you need help with factoring, check out this solver)



Now set each factor equal to zero:

L-10=0 or L-6=0

L=10 or L=6 Now solve for L in each case


So our solutions are L=10 or L=6


Notice if we graph y=L%5E2-16L%2B60 we get

+graph%28500%2C500%2C-8%2C12%2C-8%2C12%2C+x%5E2-16x%2B60%29+

and we can see that the graph has roots at L=10 and L=6, so this verifies our answer.