Given that n^2+2pn+p^2+q^2=r^2 has real roots show that r^2=q^2

It doesn't seem true, and here's a counterexample: observe that the first three terms form a perfect square. You can rewrite the equation as

This is basically the Pythagorean theorem applied to a triangle with sides n+p, q and r. For example, pick:

The expression becomes

Which is true, even if

b

step-by-step explanation:

it have 5 sides and 5 identicle angle.the rest does not have the same property as b.

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