SOLUTION: Hello! Jess here! I was wondering if someone could help me. This week my class is working on problems and I don't quite understand how to obtain the answer of some of them. If some

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Question 360224: Hello! Jess here! I was wondering if someone could help me. This week my class is working on problems and I don't quite understand how to obtain the answer of some of them. If someone could be so kind as to lead me through (with all the steps) the following problem, I would be most appreciative.
The directions are: Solve the equation by the square root property.
6x^2=96

Found 2 solutions by JBarnum, checkley77:
Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!
first you need to get by itself.

divide by 6

take the square root of each side

and

Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
6x^2=96
6x^2-96=0 extract the common factor 6.
6(x^2-16)=0 factor the quadratic equation.
6(x+4)(x-4)=0 solve the two factors.
x+4=0
x=-4 ans.
x-4=0
x=4 ans.
Proofs:
6(-4)^2=96
6*16=96
6*4^2=96
6*16=96
96=96

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