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how does \(b=2k\pm1\) makes the other root integer ?

ok thnks

i have one more statement

OK, go ahead.

what does "an identity" means here

are there any other examples of quadratic equation having more than 2 roots.

\[\frac{x^2 +x}{x} = x + 1\] is a "quadratic equation" with infinitely many roots.

ok thnx