Question

For what value of x is the rational expression below undefined?

x+3 x^2-9x+20

Possible answers
-4
-3
4
-5
3
5
Check all the apply.

Answer 1

Answer: The expression is undefined for x=4 and x=5.

The expression is undefined for any x that makes the denominator 0. This leads to solving a quadratic equation:

`(x+3)/(x^2-9x+20)\\x^2-9x+20\\eq 0\\x_(1,2)\\eq(9\pm√(9^2-80))/(2)=(9\pm1)/(2)\\x_1\\eq4\\x_2\\eq5`

Answer 2

Explanation:

Alright, lets get started.

The rational expression is gien as :

`(x+3)/(x^2-9x+20)`

For being the function undefined, the denominator must be equal to zero.

`x^2 -9x +20=0`

factoring

`(x-5)(x-4)=0`

This will give two values of x, which are

x = 5 and x = 4

So,the answer is 4 and 5. : Answer

Hope it will help :)