SOLUTION: 3x^2=10x

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 3x^2=10x      Log On


   

Question 918864: 3x^2=10x
Answer by asuar010(338) About Me  (Show Source):
You can put this solution on YOUR website!
first move all factors to one side 3x%5E2-10x=0 then
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 3x%5E2%2B-10x%2B0+=+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=%28-10%29%5E2-4%2A3%2A0=100.

Discriminant d=100 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--10%2B-sqrt%28+100+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-10%29%2Bsqrt%28+100+%29%29%2F2%5C3+=+3.33333333333333
x%5B2%5D+=+%28-%28-10%29-sqrt%28+100+%29%29%2F2%5C3+=+0

Quadratic expression 3x%5E2%2B-10x%2B0 can be factored:
3x%5E2%2B-10x%2B0+=+3%28x-3.33333333333333%29%2A%28x-0%29
Again, the answer is: 3.33333333333333, 0. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+3%2Ax%5E2%2B-10%2Ax%2B0+%29