-49x^2+77x-30=0

Solution for -49x^2+77x-30=0 equation:

-49x^2+77x-30=0

a = -49; b = 77; c = -30;
Δ = b2-4ac
Δ = 772-4·(-49)·(-30)
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(77)-7}{2*-49}=\frac{-84}{-98}
=6/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(77)+7}{2*-49}=\frac{-70}{-98}
=5/7
$