25a^2=64

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Solution for 25a^2=64 equation:



25a^2=64
We move all terms to the left:
25a^2-(64)=0
a = 25; b = 0; c = -64;
Δ = b2-4ac
Δ = 02-4·25·(-64)
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80}{2*25}=\frac{-80}{50} =-1+3/5 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80}{2*25}=\frac{80}{50} =1+3/5 $

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