Math Problem Statement

find x, y=x^2

Solution

To solve the equation y=x2y = x^2 for xx, it depends on the value of yy.

  1. If you're given a specific value for yy, you can solve for xx by taking the square root of both sides: x=±yx = \pm \sqrt{y} This gives two possible solutions for xx, because both positive and negative square roots will satisfy the equation.

  2. If yy is a general variable (without a specific value), the relationship between xx and yy remains y=x2y = x^2, and solving for xx would require taking the square root of yy as explained.

Let me know if you'd like more details, or if you have a specific value of yy in mind.

Related Questions:

  1. What happens if yy is negative in this equation?
  2. How would this change if you had the equation y=x3y = x^3?
  3. Can you solve for yy if xx is given as a specific number?
  4. How does this equation behave graphically?
  5. What are the solutions if y=16y = 16?

Tip:

Always remember that square roots yield both positive and negative solutions when solving quadratic equations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations

Formulas

y = x^2
x = ±√y

Theorems

Square Root Property

Suitable Grade Level

Grades 7-9