3u^2-7u-10=0

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Solution for 3u^2-7u-10=0 equation:



3u^2-7u-10=0
a = 3; b = -7; c = -10;
Δ = b2-4ac
Δ = -72-4·3·(-10)
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-13}{2*3}=\frac{-6}{6} =-1 $
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+13}{2*3}=\frac{20}{6} =3+1/3 $

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