6u^2-26u+20=0

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Solution for 6u^2-26u+20=0 equation:



6u^2-26u+20=0
a = 6; b = -26; c = +20;
Δ = b2-4ac
Δ = -262-4·6·20
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26)-14}{2*6}=\frac{12}{12} =1 $
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+14}{2*6}=\frac{40}{12} =3+1/3 $

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