SOLUTION: Please help me solve these three problems. Thanks Solve -9(x-3)^2=-7 Solve 9x^2=14 Solve 5(x-2)^2=3

Question 83070: Please help me solve these three problems. Thanks
Solve -9(x-3)^2=-7

Solve 9x^2=14

Solve 5(x-2)^2=3
Found 2 solutions by stanbon, checkley75:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve -9(x-3)^2--7
Divide thru -9 to get:
(x-3)^2=7/9
Take the square root to get:
x =3+(sqrt7)/3 or x=+3-(sqrt7)/3
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Solve 9x^2=14
x^2=14/9
x=(sqrt14)/3 or x=(-sqrt14)/3
------------------
Solve 5(x-2)^2=3
Divide thru by 5 then take the square root of both sides.
==========
Cheers,
Stan H.

Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
-9(x-3)^2=-7 first you must take care of the power term:
(x-3)^2=x^2-6x+9 now multiply this by -9 thus
-9(x^2-6x+9)=9x^2+54x-81 now set this term equal to -7 thus:
9x^2+54x-81=-7 now add 7 from both sides.
9x^2+54x-81+7=-7+7
9x^2+54x-72=0 now factor this quadratic equation by dividing each term by 9:
9(x^2+6x-8)=0 now factor this remaining equation using the quadratic equation:

x=(-6+-sqrt[6^2-4*1*-8])/2*1
x=(-6+-sqrt36+32])/2
x=(-6+-sqrt68)/2
x=(-6+-8.246)/2
x=(-6+8.246)/2
x=2.246/2
x=1.123 answer.
x=(-6-8.246)/2
x=-14.246)/2
x=-7.123 answer.

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