SOLUTION: Please help me solve this equation to find out the axis of symmetry and the vertex: x^2-10x+17 Thankyou(:

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Question 444559: Please help me solve this equation to find out the axis of symmetry and the vertex: x^2-10x+17
Thankyou(:
Found 2 solutions by rwm, stanbon:
Answer by rwm(914) About Me  (Show Source):
You can put this solution on YOUR website!
Equations have = and I can't find one in your problem. There is no equation
It is a lovely expression. Thank you for sharing it.
You could set it equal to zero and make an equation.
it doesn't factor. Why ?
What are factors of 17 which add of to -10
you could use complete the square or the quadratic formula.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B-10x%2B17+=+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%2A1%2A17=32.

Discriminant d=32 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28--10%2B-sqrt%28+32+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%28-10%29%2Bsqrt%28+32+%29%29%2F2%5C1+=+7.82842712474619
x%5B2%5D+=+%28-%28-10%29-sqrt%28+32+%29%29%2F2%5C1+=+2.17157287525381

Quadratic expression 1x%5E2%2B-10x%2B17 can be factored:
1x%5E2%2B-10x%2B17+=+1%28x-7.82842712474619%29%2A%28x-2.17157287525381%29
Again, the answer is: 7.82842712474619, 2.17157287525381. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B-10%2Ax%2B17+%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this equation to find out the axis of symmetry and the vertex: y = x^2-10x+17
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Complete the square:
x^2-10x+25 = y-17+25
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(x-5)^2 = y+8
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Axis of symmetry: x = 5
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Cheers,
Stan H.
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