3x^2+5x-112=0

Solution for 3x^2+5x-112=0 equation:

3x^2+5x-112=0

a = 3; b = 5; c = -112;
Δ = b2-4ac
Δ = 52-4·3·(-112)
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-37}{2*3}=\frac{-42}{6}
=-7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+37}{2*3}=\frac{32}{6}
=5+1/3
$