3x2-87x+24=0

Solution for 3x2-87x+24=0 equation:

3x^2-87x+24=0

a = 3; b = -87; c = +24;
Δ = b2-4ac
Δ = -872-4·3·24
Δ = 7281
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{7281}=\sqrt{9*809}=\sqrt{9}*\sqrt{809}=3\sqrt{809}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-87)-3\sqrt{809}}{2*3}=\frac{87-3\sqrt{809}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-87)+3\sqrt{809}}{2*3}=\frac{87+3\sqrt{809}}{6}
$