OMTEX CLASSES: If one root of the quadratic equation x2 – 7x + k = 0 is 4, then find the value of k.

If one root of the quadratic equation x2 – 7x + k = 0 is 4, then find the value of k.

Since 4 is the root of the given quadratic equation.

It satisfies the given equation

We can put x = 4 in the given quadratic equation

x2 – 7x + k =0  [Given}

42 – 7(4) + k = 0

16 – 28 + k = 0

- 12 + k = 0

k = 12

Answer: The value of k is 12