SOLUTION: Solve for X 43. (x - 6)^2 = 2x

SOLUTION: Solve for X 43. (x - 6)^2 = 2x - 9x + 38

Question 171818: Solve for X
43. (x - 6)^2 = 2x - 9x + 38
Found 2 solutions by jim_thompson5910, checkley77:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Combine like terms.

FOIL

Subtract 7x from both sides. Add 38 to both sides.

Combine like terms.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Negate to get .

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

or Break up the expression.

So the answers are or

which approximate to or

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
(x-6)^2=2x-9x+38
x^2-12x+36=-7x+38
x^2-12x+7x+36-38=0
x^2-5x-2=0
Solving this equation we get irrational roots.
IF you meant:
(x-6)^2=2x^2-9x+38 Then:
x^2-12x+36=2x^2-9x+38
x^2-2x^2-12x+9x+36-38=0
-x^2-3x-2=0 multiply by -1:
x^2+3x+2=0
(x+2)(x+1)=0
x+2=0
x=-2 ans
x+1=0
x=-1 ans.
Proofs:
(-2-6)^2=2*-2^2-9*-2+38
-8*2=2*4+18+38
64=8+18=38
64=64
(-1-6)^2=2*-1^2-9*-1+38
-7^2=2*1+9+38
49=2+9+38
49=49

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