Question

if the polynomial -2X² + Kx + √2 has a root 1,then what is the value of k​

Answer 1

Step-by-step explanation:

Placing the value of x in the equation that is 1.

$- 2 {x}^{2} + kx + \sqrt{2} = 0 \\ - 2( {1}^{2} ) + k \times 1 + \sqrt{2} = 0 \\ - 2 + k + \sqrt{2 } = 0 \\ k + \sqrt{2} = 2 \\ k = 2 - \sqrt{ 2}$