3k^2-15k+11=0

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Solution for 3k^2-15k+11=0 equation:



3k^2-15k+11=0
a = 3; b = -15; c = +11;
Δ = b2-4ac
Δ = -152-4·3·11
Δ = 93
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-\sqrt{93}}{2*3}=\frac{15-\sqrt{93}}{6} $
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{93}}{2*3}=\frac{15+\sqrt{93}}{6} $

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