(x*x)+3x-550=0

Solution for (x*x)+3x-550=0 equation:

(x*x)+3x-550=0

We add all the numbers together, and all the variables

(+x*x)+3x-550=0

We add all the numbers together, and all the variables

3x+(+x*x)-550=0

We get rid of parentheses

3x+x*x-550=0

Wy multiply elements

x^2+3x-550=0

a = 1; b = 3; c = -550;
Δ = b2-4ac
Δ = 32-4·1·(-550)
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-47}{2*1}=\frac{-50}{2}
=-25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+47}{2*1}=\frac{44}{2}
=22
$