SOLUTION: Use the quadratic formula to solve the equation. 2(x-3)^2=-2x+9

Question 172426: Use the quadratic formula to solve the equation.
2(x-3)^2=-2x+9
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

FOIL

Distribute

Get all terms to the left side.

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

Subtract from to get

Multiply and to get .

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

or Break up the expression.

So the answers are or

which approximate to or

RELATED QUESTIONS
Use the quadratic formula to solve the following quadratic equation.... (answered by stanbon)

Use the quadratic formula to solve the following quadratic equation.... (answered by checkley75)

Use the quadratic formula to solve the following quadratic equation.... (answered by jim_thompson5910)

Use the quadratic formula to solve... (answered by stanbon)

use the quadratic formula to solve the equation. x^2-5x=-9 The solution set is (answered by Edwin McCravy)

Use the quadratic formula to solve the equation 2x^2-x=-10 The solution set is {... (answered by jim_thompson5910,stanbon)

Use the quadratic formula to solve the equation. 2x^2-x=-6 The solution set is... (answered by checkley77)

Use the quadratic formula to solve the equation. 2x^2-x=-7 The solution set is {... (answered by MathLover1,ewatrrr)

Use the quadratic formula to solve the equation... (answered by ewatrrr)