4x^2-7x-147=0

Solution for 4x^2-7x-147=0 equation:

4x^2-7x-147=0

a = 4; b = -7; c = -147;
Δ = b2-4ac
Δ = -72-4·4·(-147)
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{-(-7)-49}{2*4}=\frac{-42}{8}
=-5+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+49}{2*4}=\frac{56}{8}
=7
$