18x^2-71x+28=0

Solution for 18x^2-71x+28=0 equation:

18x^2-71x+28=0

a = 18; b = -71; c = +28;
Δ = b2-4ac
Δ = -712-4·18·28
Δ = 3025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3025}=55$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-71)-55}{2*18}=\frac{16}{36}
=4/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-71)+55}{2*18}=\frac{126}{36}
=3+1/2
$