25a^2-81=0

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Solution for 25a^2-81=0 equation:



25a^2-81=0
a = 25; b = 0; c = -81;
Δ = b2-4ac
Δ = 02-4·25·(-81)
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-90}{2*25}=\frac{-90}{50} =-1+4/5 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+90}{2*25}=\frac{90}{50} =1+4/5 $

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