6x-x^2=7,2

Solution for 6x-x^2=7,2 equation:

6x-x^2=7.2

We move all terms to the left:

6x-x^2-(7.2)=0

We add all the numbers together, and all the variables

-1x^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}
$