X(x+4)-9-4x=0

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Solution for X(x+4)-9-4x=0 equation:



X(X+4)-9-4X=0
We add all the numbers together, and all the variables
-4X+X(X+4)-9=0
We multiply parentheses
X^2-4X+4X-9=0
We add all the numbers together, and all the variables
X^2-9=0
a = 1; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·1·(-9)
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6}{2*1}=\frac{-6}{2} =-3 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6}{2*1}=\frac{6}{2} =3 $

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