Question

Plzzzzz help me with this

Answer 1

Answer:

We conclude that we must add 4² or 16 to complete the square.

Hence, option C i.e. 16 is the correct answer.

Step-by-step explanation:

We know that the perfect square formula is

(a + b)² = a² + b² + 2ab

Given the equation

$x^2+8x$

Let us add 4² or 16 in the equation

$x^2+8x+4^2$

$x^2+\:2\left(1\right)\left(4\right)x+4^2$

as (a + b)² = a² + b² + 2ab, so

$x^2+8x+4^2=\left(x+4\right)^2$

Therefore, we conclude that we must add 4² or 16 to complete the square.

Hence, option C i.e. 16 is the correct answer.

Answer 2

Answer:

3. 16 must be added to the equation (x²+8x) to complete the square.

Step-by-step explanation:

${x}^{2} + 8x + 16 \\ {x}^{2} + 2 \times 4 \times x + {4}^{2}\\\boxed{{(x + 4)}^{2} }$

Now, it is in the form of complete square :

→ x²+y²+2xy=(x+y)²