4k^2+13k+9=0

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Solution for 4k^2+13k+9=0 equation: 



4k^2+13k+9=0

a = 4; b = 13; c = +9;
Δ = b2-4ac
Δ = 132-4·4·9
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$


$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-5}{2*4}=\frac{-18}{8}
=-2+1/4
$


$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+5}{2*4}=\frac{-8}{8}
=-1
$

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