Question

if x=3 is one root of the quadratic equation x^-2kx-6=0.then find the value of k.

Answer 1

Heya..!!!!


given that:-

it's one of the zeroes

X = 3

now put the value of x in Quadratic Equation,

X² - 2kx - 6 = 0

⇒(3)² - 2×k×(3) - 6 = 0

⇒9 - 6k - 6 = 0

⇒3 - 6k = 0

⇒6k = 3

⇒k = 3/6

⇒k = 1/2

HOPE it's help you

Answer 2

Solution :-

Given that x = 3, which is one root of the quadratic equation x² - 2kx - 6 = 0

Substituting the value of x = 3 in the given quadratic equation.

⇒ (3)² - 2k*3 - 6 = 0

⇒ 9 - 6k - 6 = 0

⇒ - 6k = 6 - 9

⇒ - 6k = - 3

⇒ 6k = 3

⇒ k = 3/6

⇒ k = 1/2

So, the value of k is 1/2

Answer.