Solve |(x^2-5x^4)/x^2-4| <=1

Evaluate

\frac{x ^{2} - 5 x ^{4}}{x ^{2}} - 4 \leq 1

Simplify

More Steps

3 + 5 x^{2} \leq 1

Move the expression to the left side

3 + 5 x^{2} - 1 \leq 0

Subtract the numbers

2 + 5 x^{2} \leq 0

Rewrite the expression

2 + 5 x^{2} = 0

Move the constant to the right-hand side and change its sign

5 x^{2} = 0 - 2

Removing 0 doesn't change the value,so remove it from the expression

5 x^{2} = - 2

Since the left-hand side is always positive or 0,and the right-hand side is always negative,the statement is false for any value of x

x \in / R

There are no key numbers,so choose any value to test,for example x = 0

x = 0

Solution

More Steps

x \in \emptyset

Alternative Form

No solution

Solve the inequality