Question

if x=5 is one root of the quadratic equation x^2-2kx-6=0, then find the value of k.

Answer 1

Answer: 1.9

Step-by-step explanation:

x² - 2kx - 6 = 0

5² - 2k(5) - 6 = 0

25 - 10k - 6 = 0

19 - 10k = 0

10k = 19

k = 1.9

Answer 2

The value of k is 1.9

Given : x = 5 is one root of the quadratic equation x^2-2kx-6=0

To find : The value of k

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the value of k)

As, x = 5 is a root of the given quadratic equation, so putting this value of x in the given quadratic equation will satisfy the equation.

Quadratic equation :

x²-2kx-6 = 0

Putting, x = 5, in the quadratic equation :

(5)² - (2 × k × 5) - 6 = 0

25 - 10k - 6 = 0

19-10k = 0

-10k = -19

10k = 19

k = 19/10

k = 1.9

(This will be considered as the final result.)

Hence, the value of k is 1.9