81x2-64=0

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Solution for 81x2-64=0 equation:



81x^2-64=0
a = 81; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·81·(-64)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*81}=\frac{-144}{162} =-8/9 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*81}=\frac{144}{162} =8/9 $

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