Question

What is the solution set of the quadratic inequality x^2-5-0?

Answer 1

To solve this, we just have to subtract the numbers.

`-5-0=-5`

`=x^2-5`
That's our solution set.

Have a nice day! :)

Answer 2

The solution set of the given quadratic equation is:

`x=√(5)\ and\ x=-√(5)`

Explanation:

We are given a quadratic equation in terms of the variable ''x'' as:

`x^2-5=0`

Now we are asked to find the roots of this polynomial equation.

on adding both side of the equation with 5 we get,

`x^2-5+5=0+5\\\\x^2=5`

Now on taking the square root on both the side we get:

`x=\pm √(5)`

Hence, the roots are:

`x=√(5)` and
`x=-√(5)`