What are all the positive integers that satisfy this equation?

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Thread starter donglepuss
Start date Oct 17, 2020
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Integers Positive

In summary, a positive integer is any whole number greater than 0 and for an integer to satisfy an equation means that when substituted into the equation, it results in a true or balanced statement. To find all the positive integers that satisfy an equation, one can solve it algebraically or plug in different values. There can be multiple positive integer solutions to an equation, and there are various strategies and patterns that can aid in finding them.

Oct 17, 2020

donglepuss

X^3 + y^2 - z = z^3 - x^2 + y

what are all the positive integers for x,y, z that satisfy this equation?

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Oct 17, 2020

jedishrfu

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What is the context for this problem? Is this a homework question?

if x,y,z can be any positive integer then 1 works for all.

1. What is the definition of positive integers?

Positive integers are whole numbers that are greater than zero, such as 1, 2, 3, 4, etc. They do not include fractions or decimals.

2. What is an equation?

An equation is a mathematical statement that shows the relationship between two or more quantities. It contains an equal sign (=) and can include variables, numbers, and mathematical operations.

3. How do you solve an equation?

To solve an equation, you need to isolate the variable on one side of the equal sign and the constant on the other side. You can do this by using inverse operations, such as addition, subtraction, multiplication, and division, to both sides of the equation.

4. What does it mean for an integer to satisfy an equation?

An integer satisfies an equation if, when substituted into the equation, it makes the equation true. In other words, the integer solves the equation.

5. How do you find all the positive integers that satisfy a given equation?

To find all the positive integers that satisfy a given equation, you can use trial and error, substitution, or algebraic manipulation. You can also use a graphing calculator or computer program to plot the equation and find the points where it intersects the x-axis, which represent the solutions.