SOLUTION: i need help with these two quadratic equations, please(: 3(x-4)squared=18 and the other one.. 4(x+9)squared=24 if anyone doesnt mind helping me out it would be so awesome!!

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Question 455619: i need help with these two quadratic equations, please(:
3(x-4)squared=18
and the other one..
4(x+9)squared=24
if anyone doesnt mind helping me out it would be so awesome!!
Thanks!

Found 2 solutions by richwmiller, MathLover1:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
3(x-4)^2=18
(x-4)^2=6

4(x+9)^2=24
divide by 4
(x+9)^2=6

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!



..
..

......use quadratic formula
Solved by pluggable solver: Quadratic Formula
Let's use the quadratic formula to solve for x:


Starting with the general quadratic





the general solution using the quadratic equation is:







So lets solve ( notice , , and )





Plug in a=1, b=-8, and c=10




Negate -8 to get 8




Square -8 to get 64 (note: remember when you square -8, you must square the negative as well. This is because .)




Multiply to get




Combine like terms in the radicand (everything under the square root)




Simplify the square root (note: If you need help with simplifying the square root, check out this solver)




Multiply 2 and 1 to get 2


So now the expression breaks down into two parts


or



Now break up the fraction



or



Simplify



or



So the solutions are:

or













Solved by pluggable solver: Quadratic Formula
Let's use the quadratic formula to solve for x:


Starting with the general quadratic





the general solution using the quadratic equation is:







So lets solve ( notice , , and )





Plug in a=1, b=18, and c=75




Square 18 to get 324




Multiply to get




Combine like terms in the radicand (everything under the square root)




Simplify the square root (note: If you need help with simplifying the square root, check out this solver)




Multiply 2 and 1 to get 2


So now the expression breaks down into two parts


or



Now break up the fraction



or



Simplify



or



So the solutions are:

or






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