X2+3x-1558=0

Solution for X2+3x-1558=0 equation:

X2+3X-1558=0

We add all the numbers together, and all the variables

X^2+3X-1558=0

a = 1; b = 3; c = -1558;
Δ = b2-4ac
Δ = 32-4·1·(-1558)
Δ = 6241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6241}=79$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-79}{2*1}=\frac{-82}{2}
=-41
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+79}{2*1}=\frac{76}{2}
=38
$