SOLUTION: Please help me solve these equations: {{{9x^2-24x+16=0 }}}. {{{x^2-3x=40 }}}.

Question 132911: Please help me solve these equations: .
.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1

Start with the given equation

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for x in each case

Since we have a repeating answer, our only answer is

Notice if we graph we can see that the only root is . So this visually verifies our answer.

# 2

Start with the given equation

Subtract 40 from both sides

Factor the left side (note: if you need help with factoring, check out this solver)

Now set each factor equal to zero:
or

or Now solve for x in each case

So our answer is
or

Notice if we graph we can see that the roots are and . So this visually verifies our answer.

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