X2+44x-45=0

Solution for X2+44x-45=0 equation:

X2+44X-45=0

We add all the numbers together, and all the variables

X^2+44X-45=0

a = 1; b = 44; c = -45;
Δ = b2-4ac
Δ = 442-4·1·(-45)
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-46}{2*1}=\frac{-90}{2}
=-45
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+46}{2*1}=\frac{2}{2}
=1
$