2x^2+12x-374=0

Solution for 2x^2+12x-374=0 equation:

2x^2+12x-374=0

a = 2; b = 12; c = -374;
Δ = b2-4ac
Δ = 122-4·2·(-374)
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-56}{2*2}=\frac{-68}{4}
=-17
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+56}{2*2}=\frac{44}{4}
=11
$