7k^2+9k-1=0

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Solution for 7k^2+9k-1=0 equation: 



7k^2+9k-1=0

a = 7; b = 9; c = -1;
Δ = b2-4ac
Δ = 92-4·7·(-1)
Δ = 109
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{-(9)-\sqrt{109}}{2*7}=\frac{-9-\sqrt{109}}{14}
$


$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{109}}{2*7}=\frac{-9+\sqrt{109}}{14}
$

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