Chapter 10: Q 2. (page 643)

2. To complete the square of $x^{2} - 4 x$ ,add _______.

Short Answer

Expert verified

To complete the square of $x^{2} - 4 x$ , add 4.

Step by step solution

given information.

We have given quadratic expression is, $x^{2} - 4 x$ .

Step 2. Concept used.

To complete the square of $x^{2} + b x$ add ${(\frac{b}{2})}^{2}$ .

Step 3. Explanation.

We have given,

$x^{2} - 4 x$

To complete the square we will add third term.

Third term = localid="1646648336070" ${(\frac{b}{2})}^{2}$

Comparing given expression with,

$a x^{2} + b x$ we will get b is -4.

So third term = ${(- \frac{4}{2})}^{2} = 4$

It means to complete the square we need to add 4.

Step 4. Conclusion.

Hence, To complete the square of $x^{2} - 4 x$ , add 4.

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2. To complete the square of $x^{2} - 4 x$ ,add _______.

Short Answer

Step by step solution

given information.

Step 2. Concept used.

Step 3. Explanation.

Step 4. Conclusion.

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2. To complete the square of x2-4x,add _______.

Short Answer

Step by step solution

given information.

Step 2. Concept used.

Step 3. Explanation.

Step 4. Conclusion.

One App. One Place for Learning.

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2. To complete the square of $x^{2} - 4 x$ ,add _______.