x2+4x-1085=0

Solution for x2+4x-1085=0 equation:

x2+4x-1085=0

We add all the numbers together, and all the variables

x^2+4x-1085=0

a = 1; b = 4; c = -1085;
Δ = b2-4ac
Δ = 42-4·1·(-1085)
Δ = 4356
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4356}=66$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-66}{2*1}=\frac{-70}{2}
=-35
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+66}{2*1}=\frac{62}{2}
=31
$