SOLUTION: How would i solve this problem so it equals 0 9x cubed+ 25x=30x squared

Algebra ->  Functions -> SOLUTION: How would i solve this problem so it equals 0 9x cubed+ 25x=30x squared       Log On


   

Question 926702: How would i solve this problem so it equals 0
9x cubed+ 25x=30x squared
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
+9x%5E3%2B25x+=30x%5E2
move +30+x%5E2 to the right
+9x%5E3-30x%5E2%2B25x=0
+x%289x%5E2-30x%2B25%29+=0
possible solutions:
Either x=0 or %289x%5E2-30x%2B25%29+=0
one solution is 0
we need to find out other solutions
so %289x%5E2-30x%2B25%29+=0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 9x%5E2%2B-30x%2B25+=+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=%28-30%29%5E2-4%2A9%2A25=0.

Discriminant d=0 is zero! That means that there is only one solution: x+=+%28-%28-30%29%29%2F2%5C9.
Expression can be factored: 9x%5E2%2B-30x%2B25+=+9%28x-1.66666666666667%29%2A%28x-1.66666666666667%29

Again, the answer is: 1.66666666666667, 1.66666666666667. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+9%2Ax%5E2%2B-30%2Ax%2B25+%29

So Solution = 0 , 1.667,1.667