SOLUTION: To apply the quadratic formula to the equation 4x2 - 7x = 0, you have to notice that c = 0. Solve the equation using the quadratic formula. (Enter solutions from smallest to larges

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Question 449464: To apply the quadratic formula to the equation 4x2 - 7x = 0, you have to notice that c = 0. Solve the equation using the quadratic formula. (Enter solutions from smallest to largest.)
x = ?
x = ?
Please show me the steps to get the steps.
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 4x%5E2%2B-7x%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=%28-7%29%5E2-4%2A4%2A0=49.

Discriminant d=49 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--7%2B-sqrt%28+49+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-7%29%2Bsqrt%28+49+%29%29%2F2%5C4+=+1.75
x%5B2%5D+=+%28-%28-7%29-sqrt%28+49+%29%29%2F2%5C4+=+0

Quadratic expression 4x%5E2%2B-7x%2B0 can be factored:
4x%5E2%2B-7x%2B0+=+4%28x-1.75%29%2A%28x-0%29
Again, the answer is: 1.75, 0. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+4%2Ax%5E2%2B-7%2Ax%2B0+%29