81x^2-2=34

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Solution for 81x^2-2=34 equation:



81x^2-2=34
We move all terms to the left:
81x^2-2-(34)=0
We add all the numbers together, and all the variables
81x^2-36=0
a = 81; b = 0; c = -36;
Δ = b2-4ac
Δ = 02-4·81·(-36)
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-108}{2*81}=\frac{-108}{162} =-2/3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+108}{2*81}=\frac{108}{162} =2/3 $

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