11x^2-49x-30=0

Solution for 11x^2-49x-30=0 equation:

11x^2-49x-30=0

a = 11; b = -49; c = -30;
Δ = b2-4ac
Δ = -492-4·11·(-30)
Δ = 3721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3721}=61$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-49)-61}{2*11}=\frac{-12}{22}
=-6/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-49)+61}{2*11}=\frac{110}{22}
=5
$