X^2+2x+5=9-x

Solution for X^2+2x+5=9-x equation:

X^2+2X+5=9-X

We move all terms to the left:

X^2+2X+5-(9-X)=0

We add all the numbers together, and all the variables

X^2+2X-(-1X+9)+5=0

We get rid of parentheses

X^2+2X+1X-9+5=0

We add all the numbers together, and all the variables

X^2+3X-4=0

a = 1; b = 3; c = -4;
Δ = b2-4ac
Δ = 32-4·1·(-4)
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-5}{2*1}=\frac{-8}{2}
=-4
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+5}{2*1}=\frac{2}{2}
=1
$