2x2-25x+50=5750

Solution for 2x2-25x+50=5750 equation:

2x^2-25x+50=5750

We move all terms to the left:

2x^2-25x+50-(5750)=0

We add all the numbers together, and all the variables

2x^2-25x-5700=0

a = 2; b = -25; c = -5700;
Δ = b2-4ac
Δ = -252-4·2·(-5700)
Δ = 46225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{46225}=215$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-215}{2*2}=\frac{-190}{4}
=-47+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+215}{2*2}=\frac{240}{4}
=60
$