Question

If 1/2
is a root of the quadratic equation 4x - 4kx + k + 5 = 0, Then the value of k is​

Answer 1

Answer:

-k=-5-2

-k=-k=7

the answer is 7

Answer 2

The value of k is equal to 7.

Given,

1/2 is a root of the quadratic equation 4x - 4kx + k + 5 = 0.

To Find,

The value of k =?

Solution,

We can solve the question as follows:

It is given that 1/2 is a root of the quadratic equation 4x - 4kx + k + 5 = 0. We have to find the value of k.

The roots of an equation are those values that satisfy the equation. They are also called the zeroes of the equation.

1/2 is a root of the equation 4x - 4kx + k + 5 = 0. Therefore, we will substitute x = 1/2 in the given equation.

$4x - 4kx + k + 5 = 0$

$4*\frac{1}{2} - 4k*\frac{1}{2} + k +5 = 0$

$2 - 2k + k + 5 = 0$

$7 - k = 0$

$k = 7$

Hence, the value of k is equal to 7.

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