Question

If x^2 + 2kx + 4 = 0 has a root x = 2, then find the value of k.

Answer 1

here is your answer

Answer 2

Answer:

The value of k will be -2.

Step-by-step explanation:

Given: If$x^2 + 2kx + 4 = 0$ has a root$x = 2$

We have to find the value of k.

• We know that for a quadratic equation, the roots of the equation will satisfy the quadratic equation.

We are solving in the following way:

We have,

$x^2 + 2kx + 4 = 0$

By putting$x = 2$  in the given equation we get;

$x^2 + 2kx + 4 = 0\\=>2^2+2\times k\times2+4=0\\=>4+4k+4=0\\=>4k=-4-4\\=>4k=-8\\\\=>k=\frac{-8}{4} \\\\=>k=-2$

Therefore, the value of k will be -2.