30x^2-43x-6=0

Solution for 30x^2-43x-6=0 equation:

30x^2-43x-6=0

a = 30; b = -43; c = -6;
Δ = b2-4ac
Δ = -432-4·30·(-6)
Δ = 2569
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{-(-43)-\sqrt{2569}}{2*30}=\frac{43-\sqrt{2569}}{60}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-43)+\sqrt{2569}}{2*30}=\frac{43+\sqrt{2569}}{60}
$