For what value of x is the rational expression below undefined? x+3 x^2-9x+20 Possible answers -4 -3 <

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.

0

Answers ( No )

    0
    2021-09-09T17:40:25+00:00

    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:

    \frac{x+3}{x^2-9x+20}\\x^2-9x+20\neq 0\\x_{1,2}\neq\frac{9\pm\sqrt{9^2-80}}{2}=\frac{9\pm1}{2}\\x_1\neq4\\x_2\neq5

    0
    2021-09-09T17:40:27+00:00

    Answer:

    Step-by-step explanation:

    Alright, lets get started.

    The rational expression is gien as :

    \frac{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 🙂

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