25z2-36=0

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Solution for 25z2-36=0 equation:



25z^2-36=0
a = 25; b = 0; c = -36;
Δ = b2-4ac
Δ = 02-4·25·(-36)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*25}=\frac{-60}{50} =-1+1/5 $
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*25}=\frac{60}{50} =1+1/5 $

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