8a-10a^2=0

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Solution for 8a-10a^2=0 equation:



8a-10a^2=0
a = -10; b = 8; c = 0;
Δ = b2-4ac
Δ = 82-4·(-10)·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8}{2*-10}=\frac{-16}{-20} =4/5 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8}{2*-10}=\frac{0}{-20} =0 $

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