SOLUTION: x + 10 = 3(x - 1)2

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Question 237294: x + 10 = 3(x - 1)2
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x + 10 = 3(x - 1)2
x+10=3(x^2-2x+1)
x+10=3x^2-6x+3
3x^2-7x-7=0 subtract the right side from the left.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 3x%5E2%2B-7x%2B-7+=+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%2A3%2A-7=133.

Discriminant d=133 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--7%2B-sqrt%28+133+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-7%29%2Bsqrt%28+133+%29%29%2F2%5C3+=+3.08876043244513
x%5B2%5D+=+%28-%28-7%29-sqrt%28+133+%29%29%2F2%5C3+=+-0.755427099111799

Quadratic expression 3x%5E2%2B-7x%2B-7 can be factored:
3x%5E2%2B-7x%2B-7+=+3%28x-3.08876043244513%29%2A%28x--0.755427099111799%29
Again, the answer is: 3.08876043244513, -0.755427099111799. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+3%2Ax%5E2%2B-7%2Ax%2B-7+%29