2,5x2+8,375=59

Solution for 2,5x2+8,375=59 equation:

2.5x^2+8.375=59

We move all terms to the left:

2.5x^2+8.375-(59)=0

We add all the numbers together, and all the variables

2.5x^2-50.625=0

a = 2.5; b = 0; c = -50.625;
Δ = b2-4ac
Δ = 02-4·2.5·(-50.625)
Δ = 506.25
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{-(0)-\sqrt{506.25}}{2*2.5}=\frac{0-\sqrt{506.25}}{5}
=-\frac{\sqrt{}}{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{506.25}}{2*2.5}=\frac{0+\sqrt{506.25}}{5}
=\frac{\sqrt{}}{5}
$