x^2+4x-1354=0

Solution for x^2+4x-1354=0 equation:

x^2+4x-1354=0

a = 1; b = 4; c = -1354;
Δ = b2-4ac
Δ = 42-4·1·(-1354)
Δ = 5432
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:

$\sqrt{\Delta}=\sqrt{5432}=\sqrt{4*1358}=\sqrt{4}*\sqrt{1358}=2\sqrt{1358}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-2\sqrt{1358}}{2*1}=\frac{-4-2\sqrt{1358}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+2\sqrt{1358}}{2*1}=\frac{-4+2\sqrt{1358}}{2}
$