Question

One of the roots of equation kx² – 10x + 3 = 0 is 3. Complete the following activity to find the value of k.

Activity:

One of the roots of equation kx² – 10x + 3 = 0 is 3.

Putting x = `square` in the above equation

∴ `"k"(square)^2 - 10 xx square + 3` = 0

∴ `square` – 30 + 3 = 0

∴ 9k = `square`

∴ k = `square`

Answer 1

One of the roots of equation kx² – 10x + 3 = 0 is 3.

Putting x = 3 in the above equation

∴ k(3)² – 10 × 3 + 3 = 0

∴ 9k – 30 + 3 = 0

∴ 9k = 27

∴ k = `27/9` = 3