5x^2-50x+625=680

Solution for 5x^2-50x+625=680 equation:

5x^2-50x+625=680

We move all terms to the left:

5x^2-50x+625-(680)=0

We add all the numbers together, and all the variables

5x^2-50x-55=0

a = 5; b = -50; c = -55;
Δ = b2-4ac
Δ = -502-4·5·(-55)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-60}{2*5}=\frac{-10}{10}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+60}{2*5}=\frac{110}{10}
=11
$