2x+3=x2+3

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Solution for 2x+3=x2+3 equation:



2x+3=x2+3
We move all terms to the left:
2x+3-(x2+3)=0
We add all the numbers together, and all the variables
-(+x^2+3)+2x+3=0
We get rid of parentheses
-x^2+2x-3+3=0
We add all the numbers together, and all the variables
-1x^2+2x=0
a = -1; b = 2; c = 0;
Δ = b2-4ac
Δ = 22-4·(-1)·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2}{2*-1}=\frac{-4}{-2} =+2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2}{2*-1}=\frac{0}{-2} =0 $

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