X2+33x+90=0

Solution for X2+33x+90=0 equation:

X2+33X+90=0

We add all the numbers together, and all the variables

X^2+33X+90=0

a = 1; b = 33; c = +90;
Δ = b2-4ac
Δ = 332-4·1·90
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33)-27}{2*1}=\frac{-60}{2}
=-30
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+27}{2*1}=\frac{-6}{2}
=-3
$