Math Problem Statement
Fill in the value their must be 5 for each x and y and it can’t be negative
Fill in the value their must be 5 for each x and y and it can’t be negative
Solution
The equation given in the image is:
You want to find values of and where both are positive and the value must be 5 for each pair.
Let's start by solving for based on your condition that . To do that:
Square both sides to remove the square root:
Now solve for :
So, when , .
Thus, the values are and .
Would you like more details or have any questions?
Here are 5 related questions:
- How can you verify the solution by substituting the values back into the equation?
- What happens if you change the value of to something other than 5?
- Can you graph this equation to see how depends on ?
- How would the solution change if the equation had a negative square root?
- What is the domain of this function given that square roots must be non-negative?
Tip: Remember, the square root function always outputs a non-negative value, so must be greater than or equal to for the function to be valid.
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Math Problem Analysis
Mathematical Concepts
Algebra
Square Root Functions
Formulas
y = √(x + 2)
Theorems
Properties of Square Root
Suitable Grade Level
Grades 8-10