81x^2-361=0

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Solution for 81x^2-361=0 equation:



81x^2-361=0
a = 81; b = 0; c = -361;
Δ = b2-4ac
Δ = 02-4·81·(-361)
Δ = 116964
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{116964}=342$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-342}{2*81}=\frac{-342}{162} =-2+1/9 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+342}{2*81}=\frac{342}{162} =2+1/9 $

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