Question

IF ONE ROOT OF THE QUADRATIC EQUATION 2xsquare+kx-6=0is2,the value of k is​

Answer 1

Given Information:

• 2x² + kx - 6 = 0
• One of the roots of this equation is 2.

To Find:

• The value of k.

Solution:

Given Equation –

→ 2x² + kx - 6 = 0

x = 2 is a solution of this equation. So,

→ 2 × (2)² + k × 2 - 6 = 0

→ 8 + 2k - 6 = 0

→ 2k + 2 = 0

Moving 2 to the right side, we get,

→ 2k = -2

Dividing both sides by 2, we get,

→ k = -1

★ So, the value of k is -1.

Answer:

• k = -1.