# Can someone solve this by either factoring, graphing, quadratic formula, or completing the square? The problem is 3x^2+7x-24=13x

##### 1 Answer

Oct 12, 2017

#### Explanation:

I'll solve by completing the square.

First, subtract

#3x^2 + 7x - 24 = 13x#

#3x^2 - 6x - 24 = 0#

Next, divide both sides by

#x^2 - 2x - 8 = 0#

We need something of the form

Notice that our

To get a perfect square, we can split

#x^2 - 2x + 1 - 9 = 0#

#(x^2 - 2x + 1) - 9 = 0#

#(x-1)^2 - 9 = 0#

Now, move the 9 to the other side, take the square root of both sides, and solve for

#(x-1)^2 = 9#

#x - 1 = +-3#

#x = 1+-3#

So now we have our two solutions; the only thing left to do is separate them:

#x = 1 + 3 " "# and#" "x = 1 - 3#

#x = 4 " "# and#" "x = -2#

*Final Answer*