Question: 5. Define ~ on R x R by, for all a1, a2, b1, by E R, (a1, a2) ~ (b1, by) iff (a1)2 + (a2)?

5. Define ~ on R x R by, for all a1, a2, b1, by E R, (a1, a2) ~ (b1, by) iff (a1)2 + (a2)? = (b1)2 + (b2)2. Show that ~ is an equivalence relation on R x R

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