Question

 If x = k is a solution of the quadratic equation: x² + 4x + 3 = 0, then one of the values of k is ​

Answer 1

Answer:

Given- x= k

x^2+4x+3=0

To find- value of K

solution- p(k)= (k)^2+4(k)+3=0

k^2+4k+3=0

Spiliting middle terms

k^2+3k+k+3=0

k(k+3)+1(k+3)=0

(k+1)(k+3)=0

K=1

k=3

Value of K is either 1 or 3

Answer 2

Answer:

The value of k will be -1 or -3.

One of the values of k will be -1 or -3.

Step-by-step explanation:

Given: x = k is a solution of the quadratic equation: $x^2 + 4x + 3 = 0$

We have to find one of the values of k.

We are solving in the following way:

We have,

$x^2 + 4x + 3 = 0$

Here, it is given that, the value of x=k.

Then,

$x^2 + 4x + 3 = 0\\=>k^2+4k+3=0\\=>k^2+3k+1k+3\\=>k(k+3)+1(k+3)\\=>(k+1),(k+3)$

Solving the above,

$k+1=0\\k=-1\\And\\k+3=0\\k=-3$

Hence, the values of k will be -1 or -3.