x2+48x-756=0

Solution for x2+48x-756=0 equation:

x2+48x-756=0

We add all the numbers together, and all the variables

x^2+48x-756=0

a = 1; b = 48; c = -756;
Δ = b2-4ac
Δ = 482-4·1·(-756)
Δ = 5328
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{5328}=\sqrt{144*37}=\sqrt{144}*\sqrt{37}=12\sqrt{37}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(48)-12\sqrt{37}}{2*1}=\frac{-48-12\sqrt{37}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(48)+12\sqrt{37}}{2*1}=\frac{-48+12\sqrt{37}}{2}
$