Question

The equation 2x² – 3x + k = 0 is satisfied by x = 2; the value of k is ______.

Options

• – 2

• 2

• 4

• 3

Answer 1

The equation 2x² – 3x + k = 0 is satisfied by x = 2; the value of k is – 2.

Explanation:

Given equation be,

2x² – 3x + k = 0  ...(1)

Since x = 2 satisfies equation (1).

∴ 2 × 2² – 3 × 2 + k = 0

`\implies` 8 – 6 + k = 0

`\implies` 2 + k = 0

`\implies` k = – 2