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Equation x2 = √x
Two solutions exist for the equation x2 = √x, which are x1 = 0 and x2 = 1.
Explanation
You can see the two points of intersection in the graph.
You can easily guess them because
02 = √0 = 0 and 12 = √1 = 1
Algebraic solution
A calculation gives
x2 = x½
(x2)2 = ( x½)2
x4 = x
x4 − x = 0
x(x3 − 1) = 0 ⇒ x1 = 0 and x2 = 1.