x2-4x-4x=-4-3

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Solution for x2-4x-4x=-4-3 equation:



x2-4x-4x=-4-3
We move all terms to the left:
x2-4x-4x-(-4-3)=0
We add all the numbers together, and all the variables
x2-4x-4x-(-7)=0
We add all the numbers together, and all the variables
x^2-8x+7=0
a = 1; b = -8; c = +7;
Δ = b2-4ac
Δ = -82-4·1·7
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{-(-8)-6}{2*1}=\frac{2}{2} =1 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+6}{2*1}=\frac{14}{2} =7 $

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