X^2+17x+72.25=20.25

Solution for X^2+17x+72.25=20.25 equation:

X^2+17X+72.25=20.25

We move all terms to the left:

X^2+17X+72.25-(20.25)=0

We add all the numbers together, and all the variables

X^2+17X+52=0

a = 1; b = 17; c = +52;
Δ = b2-4ac
Δ = 172-4·1·52
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-9}{2*1}=\frac{-26}{2}
=-13
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+9}{2*1}=\frac{-8}{2}
=-4
$