8x^2-16x-64=0

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Solution for 8x^2-16x-64=0 equation:



8x^2-16x-64=0
a = 8; b = -16; c = -64;
Δ = b2-4ac
Δ = -162-4·8·(-64)
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-48}{2*8}=\frac{-32}{16} =-2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+48}{2*8}=\frac{64}{16} =4 $

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