4x^2-47x-12=0

Solution for 4x^2-47x-12=0 equation:

4x^2-47x-12=0

a = 4; b = -47; c = -12;
Δ = b2-4ac
Δ = -472-4·4·(-12)
Δ = 2401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2401}=49$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-47)-49}{2*4}=\frac{-2}{8}
=-1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-47)+49}{2*4}=\frac{96}{8}
=12
$