7u^2-21u=0

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Solution for 7u^2-21u=0 equation:



7u^2-21u=0
a = 7; b = -21; c = 0;
Δ = b2-4ac
Δ = -212-4·7·0
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-21)-21}{2*7}=\frac{0}{14} =0 $
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+21}{2*7}=\frac{42}{14} =3 $

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