SOLUTION: Xsquared+10x=18 I tried putting the 18 on the other side, to make it equal 0, but then there are no numbers that are multiples of -18 that add to 10? I need the 2 possible solut

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Xsquared+10x=18 I tried putting the 18 on the other side, to make it equal 0, but then there are no numbers that are multiples of -18 that add to 10? I need the 2 possible solut      Log On


   

Question 431714: Xsquared+10x=18
I tried putting the 18 on the other side, to make it equal 0, but then there are no numbers that are multiples of -18 that add to 10?
I need the 2 possible solutions (numbers) to this problem.
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
x2+10x=18
x2+10x-18=0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B10x%2B-18+=+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=%2810%29%5E2-4%2A1%2A-18=172.

Discriminant d=172 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-10%2B-sqrt%28+172+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%2810%29%2Bsqrt%28+172+%29%29%2F2%5C1+=+1.557438524302
x%5B2%5D+=+%28-%2810%29-sqrt%28+172+%29%29%2F2%5C1+=+-11.557438524302

Quadratic expression 1x%5E2%2B10x%2B-18 can be factored:
1x%5E2%2B10x%2B-18+=+1%28x-1.557438524302%29%2A%28x--11.557438524302%29
Again, the answer is: 1.557438524302, -11.557438524302. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B10%2Ax%2B-18+%29