2x=15-x2

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Solution for 2x=15-x2 equation:



2x=15-x2
We move all terms to the left:
2x-(15-x2)=0
We add all the numbers together, and all the variables
-(-1x^2+15)+2x=0
We get rid of parentheses
1x^2+2x-15=0
We add all the numbers together, and all the variables
x^2+2x-15=0
a = 1; b = 2; c = -15;
Δ = b2-4ac
Δ = 22-4·1·(-15)
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-8}{2*1}=\frac{-10}{2} =-5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+8}{2*1}=\frac{6}{2} =3 $

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