3y^2-28y+64=0

Solution for 3y^2-28y+64=0 equation:

3y^2-28y+64=0

a = 3; b = -28; c = +64;
Δ = b2-4ac
Δ = -282-4·3·64
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-4}{2*3}=\frac{24}{6}
=4
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+4}{2*3}=\frac{32}{6}
=5+1/3
$