SOLUTION: what is the standard form of x-36=x^2-11x

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Question 246280: what is the standard form of
x-36=x^2-11x
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!

standard form is is like ax^2+bx+c=0
x-36=x^2-11x
let's combine and simplify
subtract x from both sides
-36=x^2-12x
add 36 to both sides
0=x^2-12x+36
change sides
x^2-12x+36=0
a=1, b=-12 and c=36
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=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: 6, 6. Here's your graph:
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