for this equation x^2 - x = 0
would x = 1
i think this is the answer but i need to write it out step by step in how i worked the answer out,
can any one help me please??
factor
(x+1) (x-1) =0
so solve each little equation
x+1=0
x=-1
and
x-1=0
x=1
so both 1 and -1 are solutions
factor
x(x-1)=0
therefore
x=0
or x-1 = 0
x=1, x=0
To find the solution to the equation x^2 - x = 0, we can follow these steps:
Step 1: Factor the equation:
(x+1)(x-1) = 0
Step 2: Solve each small equation:
x+1 = 0
x = -1 (Solution 1)
x-1 = 0
x = 1 (Solution 2)
So, both 1 and -1 are solutions to the equation x^2 - x = 0.
Alternatively, you can also factor the equation in a slightly different way:
Step 1: Factor out common terms:
x(x - 1) = 0
Step 2: Set each factor equal to zero and solve:
x = 0 (Solution 1)
x - 1 = 0
x = 1 (Solution 2)
Again, we find that both 1 and 0 are solutions to the equation x^2 - x = 0.