10u2-7u=0

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Solution for 10u2-7u=0 equation:



10u^2-7u=0
a = 10; b = -7; c = 0;
Δ = b2-4ac
Δ = -72-4·10·0
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*10}=\frac{0}{20} =0 $
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+7}{2*10}=\frac{14}{20} =7/10 $

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