If $p$ and $q$ are distinct prime numbers and if the equation $x^2-p x+q=0$ has positive integers as its roots, then the roots of the equation are

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Aicharya · Accepted Answer

Given, $p$ and $q$ are distinct prime. Let $p=3$ and $q=2$ $	herefore$ Given equation becomes $ \begin{array}{rlrl} & x^2-3 x+2 & =0 \ \Rightarrow & x-2 x-x+2 & =0 \ \Rightarrow & x(x-2)-1(x-2) & =0 \ \Rightarrow & & (x-1)(x-2) & =0 \ \Rightarrow & x & =1,2 \end{array} $

If $p$ and $q$ are distinct prime numbers and if the equation $x^2-p x+q=0$ has positive integers as its…

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