7,20=6x-x*x

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Solution for 7,20=6x-x*x equation:



7.20=6x-x*x
We move all terms to the left:
7.20-(6x-x*x)=0
We add all the numbers together, and all the variables
-(+6x-x*x)+7.20=0
We add all the numbers together, and all the variables
-(+6x-x*x)+7.2=0
We get rid of parentheses
-6x+x*x+7.2=0
Wy multiply elements
x^2-6x+7.2=0
a = 1; b = -6; c = +7.2;
Δ = b2-4ac
Δ = -62-4·1·7.2
Δ = 7.2
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-\sqrt{7.2}}{2*1}=\frac{6-\sqrt{7.2}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+\sqrt{7.2}}{2*1}=\frac{6+\sqrt{7.2}}{2} $

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