4x^2-74x+336=0

Solution for 4x^2-74x+336=0 equation:

4x^2-74x+336=0

a = 4; b = -74; c = +336;
Δ = b2-4ac
Δ = -742-4·4·336
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-74)-10}{2*4}=\frac{64}{8}
=8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-74)+10}{2*4}=\frac{84}{8}
=10+1/2
$