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White raven [17]
3 years ago
11

Plzzzzz help me with this

Mathematics
2 answers:
ehidna [41]3 years ago
4 0

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

<em>(a + b)² = a² + b² + 2ab</em>

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 <em>(a + b)² = a² + b² + 2ab, </em>so

<em />x^2+8x+4^2=\left(x+4\right)^2<em />

<em />

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

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

Bess [88]3 years ago
4 0

Answer:

3. <u>16</u> 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

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