4x^2-12x-1147=0

Solution for 4x^2-12x-1147=0 equation:

4x^2-12x-1147=0

a = 4; b = -12; c = -1147;
Δ = b2-4ac
Δ = -122-4·4·(-1147)
Δ = 18496
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{18496}=136$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-136}{2*4}=\frac{-124}{8}
=-15+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+136}{2*4}=\frac{148}{8}
=18+1/2
$