8x^2-162=0

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Solution for 8x^2-162=0 equation:



8x^2-162=0
a = 8; b = 0; c = -162;
Δ = b2-4ac
Δ = 02-4·8·(-162)
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72}{2*8}=\frac{-72}{16} =-4+1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72}{2*8}=\frac{72}{16} =4+1/2 $

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