4w2-3=11w

Solution for 4w2-3=11w equation:

4w^2-3=11w

We move all terms to the left:

4w^2-3-(11w)=0

a = 4; b = -11; c = -3;
Δ = b2-4ac
Δ = -112-4·4·(-3)
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-13}{2*4}=\frac{-2}{8}
=-1/4
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+13}{2*4}=\frac{24}{8}
=3
$