Question

What is the solution set of the quadratic inequality x2-5<0?

Answer 1

Answer:

-\sqrt{5}< x < \sqrt{5}[/tex]

Step-by-step explanation:

$x^{2} -\sqrt{5}< x < \sqrt{5}$

Answer 2

Answer:

$-\sqrt{5}$

Step-by-step explanation:

The given expression is

$x^{2} -5$

To solve this quadratic inequality, we need to isolate the variable and then apply the quadratic root at each side of the inequality, as follows

$x^{2}$

Remember that a quadratic root has two results, one positive and one negative, which in this case would be

$x-\sqrt{5}$

Remember that a negative factor changes the direction of the inequality relation to the opposite.

Therefore, the solution is

$-\sqrt{5}$

That is, all values between $-\sqrt{5}$ and $\sqrt{5}$.