8x2-4x-180x=0

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Solution for 8x2-4x-180x=0 equation:



8x^2-4x-180x=0
We add all the numbers together, and all the variables
8x^2-184x=0
a = 8; b = -184; c = 0;
Δ = b2-4ac
Δ = -1842-4·8·0
Δ = 33856
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{33856}=184$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-184)-184}{2*8}=\frac{0}{16} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-184)+184}{2*8}=\frac{368}{16} =23 $

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