72x^2-143x+15=0

Solution for 72x^2-143x+15=0 equation:

72x^2-143x+15=0

a = 72; b = -143; c = +15;
Δ = b2-4ac
Δ = -1432-4·72·15
Δ = 16129
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16129}=127$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-143)-127}{2*72}=\frac{16}{144}
=1/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-143)+127}{2*72}=\frac{270}{144}
=1+7/8
$