3x^2-44x-484=0

Solution for 3x^2-44x-484=0 equation:

3x^2-44x-484=0

a = 3; b = -44; c = -484;
Δ = b2-4ac
Δ = -442-4·3·(-484)
Δ = 7744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7744}=88$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-88}{2*3}=\frac{-44}{6}
=-7+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+88}{2*3}=\frac{132}{6}
=22
$