2x^2-5x+8=94.5

Solution for 2x^2-5x+8=94.5 equation:

2x^2-5x+8=94.5

We move all terms to the left:

2x^2-5x+8-(94.5)=0

We add all the numbers together, and all the variables

2x^2-5x-86.5=0

a = 2; b = -5; c = -86.5;
Δ = b2-4ac
Δ = -52-4·2·(-86.5)
Δ = 717
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{-(-5)-\sqrt{717}}{2*2}=\frac{5-\sqrt{717}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{717}}{2*2}=\frac{5+\sqrt{717}}{4}
$