Question

if one root of the quadratic equation is x²-7x+k=0 is 2 then find the value of k?​

Answer 1

Answer:

Step-by-step explanation:

Given quadratic equation x² - 7x + k = 0 and one root = 2.

Since 2 is the root, substituting the value in place of x in the quadratic equation, the result should be zero.

=> (2)² - 7(2) + k = 0

=> 4 - 14 + k = 0

=> -10 + k = 0

=> k = 10.

Answer 2

Given:

A quadratic equation is x²- 7x + k = 0

One root of the quadratic equation = 2

To find :

The value of k.

Solution:

Let, 2 is one of the root of the given quadratic equation.

To find the value of k, Substitute x = 2 in the given quadratic equation,

x²- 7x + k = 0

2²- 7(2) + k = 0

4 - 14 + k = 0

-10 + k = 0

k = 10

Final answer:

If one root of the quadratic equation x²- 7x + k = 0 is 2,

then the value of k is 10.