7x^2-57x-105=0

Solution for 7x^2-57x-105=0 equation:

7x^2-57x-105=0

a = 7; b = -57; c = -105;
Δ = b2-4ac
Δ = -572-4·7·(-105)
Δ = 6189
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-57)-\sqrt{6189}}{2*7}=\frac{57-\sqrt{6189}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-57)+\sqrt{6189}}{2*7}=\frac{57+\sqrt{6189}}{14}
$