what is a solution of a quadratic equation any quadratic equation has at most two roots why
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This is a proof that doesn't rely on any theorem: assume (x−a)(x−b)=(x−a′)(x−b′). Then putting x=0 you have ab=a′b′ and putting x=1 you have a+b=a′+b′. This implies that (a−b)2=(a+b)2−4ab=(a′−b′)2. From a+b=a′+b′ and a−b=±(a′−b′) you can derive {a,b}={a′,b′}. –
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A solution is the value in set of Real numbers for which the expression becomes 0. A quadratic equation has atmost 2 roots because it's degree is two
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