2x2+3x2-8,5=22,75

Solution for 2x2+3x2-8,5=22,75 equation:

2x^2+3x^2-8.5=22.75

We move all terms to the left:

2x^2+3x^2-8.5-(22.75)=0

We add all the numbers together, and all the variables

5x^2-31.25=0

a = 5; b = 0; c = -31.25;
Δ = b2-4ac
Δ = 02-4·5·(-31.25)
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-25}{2*5}=\frac{-25}{10}
=-2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+25}{2*5}=\frac{25}{10}
=2+1/2
$