Solve sqrt(-5x^2 - 1)

Evaluate

- 5 x^{2} - 1

To find the roots of the expression,set the expression equal to 0

- 5 x^{2} - 1 = 0

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

- 5 x^{2} - 1 = 0, x \in / R

Calculate

- 5 x^{2} - 1 = 0

The only way a root could be 0 is when the radicand equals 0

- 5 x^{2} - 1 = 0

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

- 5 x^{2} = 0 + 1

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

- 5 x^{2} = 1

Solution

x \in / R

Find the roots