24u^2-7u=0

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Solution for 24u^2-7u=0 equation: 



24u^2-7u=0

a = 24; b = -7; c = 0;
Δ = b2-4ac
Δ = -72-4·24·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$


$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-7}{2*24}=\frac{0}{48}
=0
$


$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+7}{2*24}=\frac{14}{48}
=7/24
$

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