6.4a2=6.4a

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Solution for 6.4a2=6.4a equation:



6.4a^2=6.4a
We move all terms to the left:
6.4a^2-(6.4a)=0
We add all the numbers together, and all the variables
6.4a^2-(+6.4a)=0
We get rid of parentheses
6.4a^2-6.4a=0
a = 6.4; b = -6.4; c = 0;
Δ = b2-4ac
Δ = -6.42-4·6.4·0
Δ = 40.96
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6.4)-\sqrt{40.96}}{2*6.4}=\frac{6.4-\sqrt{40.96}}{12.8} $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6.4)+\sqrt{40.96}}{2*6.4}=\frac{6.4+\sqrt{40.96}}{12.8} $

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