It might be helpful to complete the square. Then you would have the difference of two squares being equal to -17.spoc21 said:Homework Statement
Please find all ordered pairs of integers (x,y) such that x2 + 2x + 18 = y2
Homework Equations
x2 + 2x + 18 = y2
The Attempt at a Solution
Im not sure on how to begin. I tried square-rooting the expression, to solve for y, turning it into y = [tex]\sqrt{x + 2x + 18}[/tex]. I would greatly appreciate any help to get me started on this problem.
Thanks!
An ordered pair is a set of two numbers or coordinates written in a specific order, usually represented as (x,y).
To find the ordered pair of a point, you need to know the x-coordinate and the y-coordinate of the point. These coordinates can then be written in the format (x,y) to represent the ordered pair.
An ordered pair is a specific way of writing a set of coordinates, where the first number represents the x-coordinate and the second number represents the y-coordinate. A set of coordinates can refer to any group of numbers that represent a location or position.
To graph an ordered pair, you can first locate the x-coordinate on the horizontal axis and then the y-coordinate on the vertical axis. The point where these two lines intersect is where you can plot the ordered pair.
Ordered pairs are important in mathematics because they allow us to represent and visualize relationships between two variables or quantities. They are also essential in graphing and solving equations in algebra and other mathematical concepts.