-77x^2-17x+4=0

Solution for -77x^2-17x+4=0 equation:

-77x^2-17x+4=0

a = -77; b = -17; c = +4;
Δ = b2-4ac
Δ = -172-4·(-77)·4
Δ = 1521
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1521}=39$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-39}{2*-77}=\frac{-22}{-154}
=1/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+39}{2*-77}=\frac{56}{-154}
=-4/11
$