81x^2-325x+64=0

Solution for 81x^2-325x+64=0 equation:

81x^2-325x+64=0

a = 81; b = -325; c = +64;
Δ = b2-4ac
Δ = -3252-4·81·64
Δ = 84889
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{-(-325)-\sqrt{84889}}{2*81}=\frac{325-\sqrt{84889}}{162}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-325)+\sqrt{84889}}{2*81}=\frac{325+\sqrt{84889}}{162}
$