For the equation x - 2√x = 0, solve for all values of x that satisfies the equation.
you can factor this into:
sqrt(x) [sqrt(x) - 2] = 0
Thus sqrt(x) = 0 or [sqrt(x) - 2] = 0
The first case means x = 0
The second case means sqrt(x) = 2 or x = 4.
Thus the two solutions are 0 and 4.
so it is
x = 2 sqrt(x)
squaring both sides
x^2 = 4x
which is like
x^2 - 4x = 0
which gives
x(x-4) = 0
hence x = 0 or x = 4
x=2rad(x), x>=0
x^2=4x
x^2-4x=0
x(x-4)=0
x=0 or x=4
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you can factor this into:
sqrt(x) [sqrt(x) - 2] = 0
Thus sqrt(x) = 0 or [sqrt(x) - 2] = 0
The first case means x = 0
The second case means sqrt(x) = 2 or x = 4.
Thus the two solutions are 0 and 4.
so it is
x = 2 sqrt(x)
squaring both sides
x^2 = 4x
which is like
x^2 - 4x = 0
which gives
x(x-4) = 0
hence x = 0 or x = 4
x=2rad(x), x>=0
x^2=4x
x^2-4x=0
x(x-4)=0
x=0 or x=4