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x2+8x-44=0
We add all the numbers together, and all the variables
x^2+8x-44=0
a = 1; b = 8; c = -44;
Δ = b2-4ac
Δ = 82-4·1·(-44)
Δ = 240
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{240}=\sqrt{16*15}=\sqrt{16}*\sqrt{15}=4\sqrt{15}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-4\sqrt{15}}{2*1}=\frac{-8-4\sqrt{15}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+4\sqrt{15}}{2*1}=\frac{-8+4\sqrt{15}}{2} $
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