x2+6x+4x+8=0

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Solution for x2+6x+4x+8=0 equation:



x2+6x+4x+8=0
We add all the numbers together, and all the variables
x^2+10x+8=0
a = 1; b = 10; c = +8;
Δ = b2-4ac
Δ = 102-4·1·8
Δ = 68
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:
$\sqrt{\Delta}=\sqrt{68}=\sqrt{4*17}=\sqrt{4}*\sqrt{17}=2\sqrt{17}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(10)-2\sqrt{17}}{2*1}=\frac{-10-2\sqrt{17}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+2\sqrt{17}}{2*1}=\frac{-10+2\sqrt{17}}{2} $

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