x^2+4x-8=349

Solution for x^2+4x-8=349 equation:

x^2+4x-8=349

We move all terms to the left:

x^2+4x-8-(349)=0

We add all the numbers together, and all the variables

x^2+4x-357=0

a = 1; b = 4; c = -357;
Δ = b2-4ac
Δ = 42-4·1·(-357)
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-38}{2*1}=\frac{-42}{2}
=-21
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+38}{2*1}=\frac{34}{2}
=17
$