3x^2+16x-344=0

Solution for 3x^2+16x-344=0 equation:

3x^2+16x-344=0

a = 3; b = 16; c = -344;
Δ = b2-4ac
Δ = 162-4·3·(-344)
Δ = 4384
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:

$\sqrt{\Delta}=\sqrt{4384}=\sqrt{16*274}=\sqrt{16}*\sqrt{274}=4\sqrt{274}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-4\sqrt{274}}{2*3}=\frac{-16-4\sqrt{274}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+4\sqrt{274}}{2*3}=\frac{-16+4\sqrt{274}}{6}
$