Chapter 1: Q 1. (page 49)

To complete the square of $x^{2} + 10 x$ , you would (add/subtract) the number ______.

Short Answer

Expert verified

To complete the square of $x^{2} + 10 x$ , you would add the number $25$ .

Step by step solution

Step 1. Given information

Polynomial is $x^{2} + 10 x$ .

Step 2. Find the number to be added or subtracted.

For a perfect square trinomial in the form of $a x^{2} + b x + c$ , we can solve for $c$ using the formula $c = {(\frac{b}{2})}^{2}$

We have $a = 1, b = 10$

Therefore,

$\begin{array}{rcl} c & = & {(\frac{10}{2})}^{2} \\ = & 5^{2} \\ = & 25 \end{array}$

Thus, the perfect square trinomial is $x^{2} + 10 x + 25$

Therefore, to complete the square of $x^{2} + 10 x$ , you would add the number $25$ .

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To complete the square of $x^{2} + 10 x$ , you would (add/subtract) the number ______.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the number to be added or subtracted.

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To complete the square of x2+10x, you would (add/subtract) the number ______.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the number to be added or subtracted.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

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Applied Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

To complete the square of $x^{2} + 10 x$ , you would (add/subtract) the number ______.