3h2+44h=6279

Solution for 3h2+44h=6279 equation:

3h^2+44h=6279

We move all terms to the left:

3h^2+44h-(6279)=0

a = 3; b = 44; c = -6279;
Δ = b2-4ac
Δ = 442-4·3·(-6279)
Δ = 77284
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{77284}=278$
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-278}{2*3}=\frac{-322}{6}
=-53+2/3
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+278}{2*3}=\frac{234}{6}
=39
$