Question

If (1/3) is a root of quadratic equation ² + − (5/9) = 0, then find the value of k.​

Answer 1

Answer:

k = (4/3)

Step-by-step explanation:

Putting x=(1/3) in the eqⁿ:

$( \frac{1}{3} {)}^{2} + k( \frac{1}{3} ) - \frac{5}{9} = 0 \\ or \: \: \: \: \: \: \: \frac{1}{9} + \frac{k}{3} - \frac{5}{9} = 0 \\ or \: \: \: \: \: \: \: \frac{1 + 3k - 5}{9} = 0$

$or \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3k - 4 = 0 \\ or \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3k = 4 \\ or \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: k = \frac{4}{3}$