x^2=-17x+72.26

Solution for x^2=-17x+72.26 equation:

x^2=-17x+72.26

We move all terms to the left:

x^2-(-17x+72.26)=0

We get rid of parentheses

x^2+17x-72.26=0

a = 1; b = 17; c = -72.26;
Δ = b2-4ac
Δ = 172-4·1·(-72.26)
Δ = 578.04
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{-(17)-\sqrt{578.04}}{2*1}=\frac{-17-\sqrt{578.04}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{578.04}}{2*1}=\frac{-17+\sqrt{578.04}}{2}
$