Solve 1/x^2 - 2/x
To solve the equation 1/x^2 - 2/x = 0, we can start by multiplying every term by x to eliminate the fractions:
x(1/x^2) - x(2/x) = 0
This simplifies to:
1/x - 2 = 0
Next, we can move the -2 term to the other side of the equation:
1/x = 2
To solve for x, we can take the reciprocal of both sides of the equation:
x = 1/2
Therefore, the solution to the equation 1/x^2 - 2/x = 0 is x = 1/2.
To solve the expression 1/x^2 - 2/x, we need to find a common denominator. The common denominator for x^2 and x is x^2.
So, let's rewrite the expression with the common denominator:
1/x^2 - 2/x = x/x^2 - 2(x^2)/x^2
Next, we can simplify the expression:
x/x^2 - 2(x^2)/x^2 = (x - 2x^2)/x^2
Now, let's simplify the numerator:
x - 2x^2 = x(1 - 2x)
Finally, we can write the simplified expression:
(x - 2x^2)/x^2 = x(1 - 2x)/x^2
Thus, the simplified expression is x(1 - 2x)/x^2.
To solve the expression 1/x^2 - 2/x, we first need to find a common denominator for the two fractions.
The common denominator for x^2 and x is x^2. So, we can rewrite 1/x^2 as (1/x) * (1/x) and 2/x as (2/x) * (x/x).
Now, we can combine the fractions by adding their numerators and keeping the common denominator:
(1/x) * (1/x) - (2/x) * (x/x) = 1/x^2 - 2x/x^2
Since both fractions have the same denominator of x^2, we can write them as a single fraction:
(1 - 2x)/x^2
Therefore, the expression 1/x^2 - 2/x simplifies to (1 - 2x)/x^2.