How Do You Write and Use x to the Power of 2?
X Squared often appears in school exams, board tests, and real life, especially in topics like geometry or quadratic equations. Understanding this concept helps you quickly solve area problems and tackle algebra questions. Mastering it makes maths less confusing and boosts your confidence.
Formula Used in X Squared
The standard formula is: \( x^2 = x \times x \ )
Here’s a helpful table to understand X Squared more clearly:
X Squared Table
| Number | X Squared Value | Is a Perfect Square? |
|---|---|---|
| 2 | 4 | Yes |
| 3 | 9 | Yes |
| 5 | 25 | Yes |
| 6 | 36 | Yes |
| 7 | 49 | Yes |
This table shows how squaring a number usually leads to a perfect square. It’s an easy way to spot patterns or check if an answer makes sense.
Worked Example – Solving a Problem
1. Start with the equation: \( x^2 = 36 \ )2. Take the square root of both sides: \( x = \sqrt{36} \)
3. Find the root: \( x = 6 \) or \( x = -6 \)
4. So, the solutions are 6 and -6.
Practice Problems
- Find the value of x if x squared equals 81.
- Is 50 a perfect square?
- List all x squared values between 10 and 40.
- Which numbers here are not x squared values: 16, 21, 36?
Common Mistakes to Avoid
- Confusing X Squared (x × x) with 2x (2 × x).
- Forgetting that both positive and negative roots are possible when solving x squared equations.
Real-World Applications
The concept of X Squared appears in areas such as calculating area (like the surface of a square), figuring out physics problems, and understanding computer graphics. Vedantu helps students see how maths connects to everyday tasks like measuring spaces or tracking speeds.
We explored the idea of X Squared, how to apply it, solve related problems, and understand its real-life relevance. Practice more with Vedantu to build confidence in these concepts.
Quadratic Equations
Perfect Squares
Square Root
Factoring Quadratics
Square
FAQs on What Does x² (x Squared) Mean in Math?
1. What is x2 in math?
x2 (read as "x squared") means x multiplied by itself, or x × x. It is called the square of x and represents raising x to the power of 2.
2. What does x to the power of 2 mean?
x to the power of 2 means multiplying x by itself once, i.e., x × x. It is also written as x2 and called "x squared."
3. Is x * x2 equal to x3 or 2x?
The expression x × x2 is equal to x3 because multiplying powers with the same base adds their exponents: x1 × x2 = x1+2 = x3. It is not equal to 2x.
4. How do you write x squared?
You can write x squared as x2 using a superscript 2, or in plain text as x^2. This means x × x.
5. What is x squared times x squared?
Multiplying x squared by x squared gives x2 × x2 = x4. You add the exponents whenever you multiply powers with the same base.
6. What is x squared plus x squared?
Adding x squared plus x squared gives 2x2, because x2 + x2 = 2x2.
7. What is the graph of x squared?
The graph of y = x2 is a parabola opening upwards with its vertex at the origin (0, 0). It is a symmetric curve and represents a basic quadratic function.
8. What is the symbol for x squared?
The symbol for x squared is x2, where 2 is written in superscript after x. It may also appear as x^2 in plain text.
9. What is x squared minus x squared?
Subtracting x squared minus x squared gives 0, because x2 − x2 = 0.
10. What is x squared times x cubed?
Multiplying x squared by x cubed gives x2 × x3 = x5 by adding the exponents.
11. What is x squared plus y squared?
The expression x squared plus y squared, written as x2 + y2, is a common algebraic form. In geometry, it often appears in the equation of a circle: x2 + y2 = r2, where r is the radius.
12. What is x squared divided by x?
Dividing x squared by x gives x2 ÷ x = x1, or just x, using exponent rules by subtracting the exponents: 2 − 1 = 1.
