77x^2-533x+308=0

Solution for 77x^2-533x+308=0 equation:

77x^2-533x+308=0

a = 77; b = -533; c = +308;
Δ = b2-4ac
Δ = -5332-4·77·308
Δ = 189225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{189225}=435$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-533)-435}{2*77}=\frac{98}{154}
=7/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-533)+435}{2*77}=\frac{968}{154}
=6+2/7
$