25z^2-8z=0

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Solution for 25z^2-8z=0 equation: 



25z^2-8z=0

a = 25; b = -8; c = 0;
Δ = b2-4ac
Δ = -82-4·25·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$


$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-8}{2*25}=\frac{0}{50}
=0
$


$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+8}{2*25}=\frac{16}{50}
=8/25
$

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