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Which numbers are solutions for for equation s^2=s

User Hayan
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Given an equation s^2 = s.

The numbers which are the solutions for the given equation can be obtained by solving the equation. The solution of the given equation is as follows:


\begin{gathered} s^2=s \\ \Rightarrow s^2-s=s-s \\ \Rightarrow s^2-s=0 \\ \Rightarrow s(s-1)=0 \end{gathered}

Using the zero-product rule, we can say that the above equation holds true if s = 0 or s - 1 = 0. That implies, x = 0 and x = 1 are the solution of the given equation.

Thus, the solutions are x = 0 and x = 1.

User Sasha
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