How do you solve x squared plus y squared equals 13 squared?

Answer 1

You need to get a value for x or y. As it is, the problem has no answer because there is more then one variable and only one equation.

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First, you need to understand clearly what "solve" means.

The "solution" to an equation normally means a set of numerical values for all

of the variables that appear in it, that makes the equation a true statement.

In order to find a solution, you generally need the same number of different

equations as there are variables in them. That is, if the equation has both

'x' and 'y' in it, then you need two different facts about their relationship in

order to figure out what numbers they are.

When you graph the equation in the question ... x2+ y2 = (13)2 ... the graph

is a circle, with its center at the origin, and with a radius of 13. Every point on

that circle has 'x' and 'y' coordinates, and every point is a solution to the equation.

So, just as it stands, there are an infinite number of "solutions".