Answer:
x = 0, -1.
Step-by-step explanation:
√(x(x+1)) = 0
If we square both sides we get
x(x + 1) = 0
so x= 0 or x = -1.
As the equation contains a square root we need to test for extraneous solutions:
x = 0, √(0(0 +1) = 0 so x = 0 IS a solution.
x = -1, √(-1(-1 +1) = 0 so x = -1 IS a solution .
