SOLUTION: 8x^+16x=24

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Question 36780: 8x^+16x=24
Answer by vidhyak(98) About Me  (Show Source):
You can put this solution on YOUR website!
8x^+16x=24

Assuming the equation is
8x^2 +16x = 24
8x^2 +16x - 24 = 0

Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 8x%5E2%2B16x%2B-24+=+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=%2816%29%5E2-4%2A8%2A-24=1024.

Discriminant d=1024 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-16%2B-sqrt%28+1024+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%2816%29%2Bsqrt%28+1024+%29%29%2F2%5C8+=+1
x%5B2%5D+=+%28-%2816%29-sqrt%28+1024+%29%29%2F2%5C8+=+-3

Quadratic expression 8x%5E2%2B16x%2B-24 can be factored:
8x%5E2%2B16x%2B-24+=+8%28x-1%29%2A%28x--3%29
Again, the answer is: 1, -3. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+8%2Ax%5E2%2B16%2Ax%2B-24+%29