SOLUTION: √3X+15=x+3 √3X+15^2=(x+3)^2 3x+15=(x+3)^2 3x+15=x^2+6x+9 -15 -15 3x=x^2+6x-6 -3x -3x 0=x^2+3x-6 having trouble factoring x^2+3x-6 thanks so muc

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: √3X+15=x+3 √3X+15^2=(x+3)^2 3x+15=(x+3)^2 3x+15=x^2+6x+9 -15 -15 3x=x^2+6x-6 -3x -3x 0=x^2+3x-6 having trouble factoring x^2+3x-6 thanks so muc      Log On


   

Question 598394: √3X+15=x+3
√3X+15^2=(x+3)^2
3x+15=(x+3)^2
3x+15=x^2+6x+9
-15 -15
3x=x^2+6x-6
-3x -3x
0=x^2+3x-6
having trouble factoring x^2+3x-6
thanks so much
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
It doesn't factor.
Using the quadratic formula there is only one answer x=%28-3%2Bsqrt%2833%29%29%2F2
.
Ed
.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B3x%2B-6+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%283%29%5E2-4%2A1%2A-6=33.

Discriminant d=33 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-3%2B-sqrt%28+33+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%283%29%2Bsqrt%28+33+%29%29%2F2%5C1+=+1.37228132326901
x%5B2%5D+=+%28-%283%29-sqrt%28+33+%29%29%2F2%5C1+=+-4.37228132326901

Quadratic expression 1x%5E2%2B3x%2B-6 can be factored:
1x%5E2%2B3x%2B-6+=+1%28x-1.37228132326901%29%2A%28x--4.37228132326901%29
Again, the answer is: 1.37228132326901, -4.37228132326901. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B3%2Ax%2B-6+%29