Question

One root of equation 3x² – mx + 4 = 0 is 1, the value of m is ______.

Options

• 7

• –7

• `4/3`

• `-4/3`

Answer 1

One root of equation 3x² – mx + 4 = 0 is 1, the value of m is 7.

Explanation:

Given quadratic equation be

3x² – mx + 4 = 0   ...(1)

Since 1 is the root of equation (1)

∴ 1 satisfies equation (1)

∴ 3 × 1² – m + 4 = 0

`\implies` 7 – m = 0

`\implies` m = 7