4x2-119=11x

Solution for 4x2-119=11x equation:

4x^2-119=11x

We move all terms to the left:

4x^2-119-(11x)=0

a = 4; b = -11; c = -119;
Δ = b2-4ac
Δ = -112-4·4·(-119)
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-45}{2*4}=\frac{-34}{8}
=-4+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+45}{2*4}=\frac{56}{8}
=7
$