X+3=x2-1

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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} $

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