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)   (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 (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=32 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 7.82842712474619, 2.17157287525381. Here's your graph:
Answer by stanbon(75887)   (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
----
(x-5)^2 = y+8
-----------------
Axis of symmetry: x = 5
--------------------------
Cheers,
Stan H.
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