which number(s) is (are) equal to its (their) square
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which number(s) is (are) equal to its (their) square
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Solution
If x is the number to find, its square is x2.
x is equal to its square hence: x = x2
Solve the above equation by factoring. First write with right side equal to zero.
x - x2 = 0
x(1 - x) = 0
solutions: x = 0 and x = 1
Check answers.
1) x = 0 , its square is 02 = 0 . Hence x and its square are equal.
2) x = 1 , its square is 12 = 1 . Hence x and its square are equal.