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135=24x-x*x
We move all terms to the left:
135-(24x-x*x)=0
We add all the numbers together, and all the variables
-(+24x-x*x)+135=0
We get rid of parentheses
-24x+x*x+135=0
Wy multiply elements
x^2-24x+135=0
a = 1; b = -24; c = +135;
Δ = b2-4ac
Δ = -242-4·1·135
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{36}=6$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-6}{2*1}=\frac{18}{2} =9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+6}{2*1}=\frac{30}{2} =15 $
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