36.25x^2-1.8x-64=0

Solution for 36.25x^2-1.8x-64=0 equation:

36.25x^2-1.8x-64=0

a = 36.25; b = -1.8; c = -64;
Δ = b2-4ac
Δ = -1.82-4·36.25·(-64)
Δ = 9283.24
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{-(-1.8)-\sqrt{9283.24}}{2*36.25}=\frac{1.8-\sqrt{9283.24}}{72.5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.8)+\sqrt{9283.24}}{2*36.25}=\frac{1.8+\sqrt{9283.24}}{72.5}
$