X+3=x2-1

Solution for X+3=x2-1 equation:

X+3=X2-1

We move all terms to the left:

X+3-(X2-1)=0

We add all the numbers together, and all the variables

-(+X^2-1)+X+3=0

We get rid of parentheses

-X^2+X+1+3=0

We add all the numbers together, and all the variables

-1X^2+X+4=0

a = -1; b = 1; c = +4;
Δ = b2-4ac
Δ = 12-4·(-1)·4
Δ = 17
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{17}}{2*-1}=\frac{-1-\sqrt{17}}{-2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{17}}{2*-1}=\frac{-1+\sqrt{17}}{-2}
$