X2+4x=948

Solution for X2+4x=948 equation:

X2+4X=948

We move all terms to the left:

X2+4X-(948)=0

We add all the numbers together, and all the variables

X^2+4X-948=0

a = 1; b = 4; c = -948;
Δ = b2-4ac
Δ = 42-4·1·(-948)
Δ = 3808
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:

$\sqrt{\Delta}=\sqrt{3808}=\sqrt{16*238}=\sqrt{16}*\sqrt{238}=4\sqrt{238}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{238}}{2*1}=\frac{-4-4\sqrt{238}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{238}}{2*1}=\frac{-4+4\sqrt{238}}{2}
$