Solve for y = sqrt(x)
Understand the Problem
The question asks for the user to solve the function y = square root x, which requires knowledge of algebra and functions.
Answer
$x = y^2$
Answer for screen readers
$x = y^2$
Steps to Solve
-
Isolate $x$ To solve for $x$, we need to isolate it on one side of the equation. Given $y = \sqrt{x}$, we can do this by squaring both sides of the equation. $$y^2 = (\sqrt{x})^2$$
-
Simplify the equation Squaring a square root cancels it out. $$y^2 = x$$
-
Rewrite the equation Rewrite the equation to have $x$ on the left side. $$x = y^2$$
$x = y^2$
More Information
The inverse function of $y = \sqrt{x}$ is $x = y^2$, where $x$ must be non-negative for the original function to be real-valued.
Tips
A common mistake is not squaring both sides of the equation, or incorrectly squaring the square root.
AI-generated content may contain errors. Please verify critical information
