x(x+4)=6(12)

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Solution for x(x+4)=6(12) equation:



x(x+4)=6(12)
We move all terms to the left:
x(x+4)-(6(12))=0
determiningTheFunctionDomain x(x+4)-612=0
We multiply parentheses
x^2+4x-612=0
a = 1; b = 4; c = -612;
Δ = b2-4ac
Δ = 42-4·1·(-612)
Δ = 2464
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{2464}=\sqrt{16*154}=\sqrt{16}*\sqrt{154}=4\sqrt{154}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{154}}{2*1}=\frac{-4-4\sqrt{154}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{154}}{2*1}=\frac{-4+4\sqrt{154}}{2} $

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