8x^2-180x+900=0

Solution for 8x^2-180x+900=0 equation:

8x^2-180x+900=0

a = 8; b = -180; c = +900;
Δ = b2-4ac
Δ = -1802-4·8·900
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{-(-180)-60}{2*8}=\frac{120}{16}
=7+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-180)+60}{2*8}=\frac{240}{16}
=15
$