5x^2-130x+800=0

Solution for 5x^2-130x+800=0 equation:

5x^2-130x+800=0

a = 5; b = -130; c = +800;
Δ = b2-4ac
Δ = -1302-4·5·800
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-130)-30}{2*5}=\frac{100}{10}
=10
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-130)+30}{2*5}=\frac{160}{10}
=16
$