You can
put this solution on YOUR website!
Start with the given equation
Subtract 24 from both sides
Factor out the leading coefficient 3. This step is important since we want the
coefficient to be equal to 1.
Take half of the x coefficient -6 to get -3 (ie
)
Now square -3 to get 9 (ie
)
Add this result (9) to the expression
inside the parenthesis. Now the expression
is a perfect square trinomial. Now add the result (9)(3) (remember we factored out a 3) to the right side.
Factor
into
(note: if you need help with factoring, check out this
solver)
Multiply 9 and 3 to get 27
Combine like terms on the right side
Divide both sides by 3
Take the square root of both sides
Add 3 to both sides to isolate x.
So the expression breaks down to
or
So our answer is approximately
or
You can
put this solution on YOUR website!
subtract 24 from both sides
divide both sides by 3
take 1/2 of the coeffecient of x, then square it, then add it to both sides
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answer
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answer
You can check answers by substitution into original equation
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