How do I solve X squared plus y squared equals 5?

Answer 1

x2+y2=5 can be solved as follows:

is you're solving for x...

take the square root of both sides:

√x2+√y2=√5 which gives you x+y=√5

subtract y to isolate x:

x= -y+√5 or x=√5-y

OR, to solve for y…take the square root of both sides:

√x2+√y2=√5 which gives you x+y=√5

subtract x to isolate y:

y=√5-x or y= -x+√5

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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 = 5 ... the graph is

a circle, with its center at the origin, and with a radius of sqrt(5). 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".