# X=x2-9x

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## Solution for X=x2-9x equation:

X=X2-9X
We move all terms to the left:
X-(X2-9X)=0
We add all the numbers together, and all the variables
-(+X^2-9X)+X=0
We get rid of parentheses
-X^2+9X+X=0
We add all the numbers together, and all the variables
-1X^2+10X=0
a = -1; b = 10; c = 0;Δ = b2-4acΔ = 102-4·(-1)·0Δ = 100The delta value is higher than zero, so the equation has two solutionsWe use following formulas to calculate our solutions:$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{100}=10$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-10}{2*-1}=\frac{-20}{-2} =+10$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+10}{2*-1}=\frac{0}{-2} =0$

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