solve (2x)/(-x^2 + 2)
That is not an equation. You cannot solve for x.
You must state what (2x)/(-x^2 + 2) is equal to.
taking the ininverse,
(-x^2 + 2)/2x=-x/2+1/x
so the answer is =1/((1/x)-(x/2))
To solve the expression (2x)/(-x^2 + 2), we need to simplify it as much as possible. Let's break it down step by step:
Step 1: Simplify the denominator
The denominator is (-x^2 + 2). We can factor out a negative sign and rewrite it as (2 - x^2). Now, we can factor the denominator further using the difference of squares formula:
(2 - x^2) = (sqrt(2))^2 - x^2 = (sqrt(2) - x)(sqrt(2) + x)
Step 2: Rewrite the expression
Now, the expression becomes:
(2x)/((sqrt(2) - x)(sqrt(2) + x))
Step 3: Simplify the expression
We can simplify the numerator by canceling out the common factor 'x' with (sqrt(2) - x):
(2x)/(sqrt(2) - x) = 2
So, the simplified expression is just 2.