X2+13x-300=0

Solution for X2+13x-300=0 equation:

X2+13X-300=0

We add all the numbers together, and all the variables

X^2+13X-300=0

a = 1; b = 13; c = -300;
Δ = b2-4ac
Δ = 132-4·1·(-300)
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-37}{2*1}=\frac{-50}{2}
=-25
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+37}{2*1}=\frac{24}{2}
=12
$