2x2+17x+72.25=91.25

Solution for 2x2+17x+72.25=91.25 equation:

2x^2+17x+72.25=91.25

We move all terms to the left:

2x^2+17x+72.25-(91.25)=0

We add all the numbers together, and all the variables

2x^2+17x-19=0

a = 2; b = 17; c = -19;
Δ = b2-4ac
Δ = 172-4·2·(-19)
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-21}{2*2}=\frac{-38}{4}
=-9+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+21}{2*2}=\frac{4}{4}
=1
$