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Exercise

$z=2-\sqrt{x^2+y^2}$

Step-by-step Solution

Learn how to solve equations problems step by step online. Solve the equation with radicals z=2-(x^2+y^2)^(1/2). Move the term with the square root to the left side of the equation, and all other terms to the right side. Remember to change the signs of each term. Removing the variable's exponent raising both sides of the equation to the power of 2. Expand \left(2-z\right)^2. Group the terms of the equation.
Solve the equation with radicals z=2-(x^2+y^2)^(1/2)

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Final answer to the exercise

$y=\sqrt{4-4z+z^2-x^2},\:y=-\sqrt{4-4z+z^2-x^2}$

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$\sqrt{2x+7}+\sqrt{3x-2}=10$

Main Topic: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.

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