(21x^2)-59x-8=0

Solution for (21x^2)-59x-8=0 equation:

(21x^2)-59x-8=0

a = 21; b = -59; c = -8;
Δ = b2-4ac
Δ = -592-4·21·(-8)
Δ = 4153
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{-(-59)-\sqrt{4153}}{2*21}=\frac{59-\sqrt{4153}}{42}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-59)+\sqrt{4153}}{2*21}=\frac{59+\sqrt{4153}}{42}
$