Question

what is the value of x that will make the expression x4-3x+5/x2-6x+9 undefined
A.1
B.2
C.3
D.4​

Answer 1

Answer:

Answer. 1A option

Step-by-step explanation:

hope it's helpful

Answer 2

Given,

$\[\frac{{{x^4} - 3x + 5}}{{{x^2} - 6x + 9}}\]$

Solution,

Calculate the value of x for which makes expression as undefined.

This expression will be undefined if denominator become zero.

$\[ = \frac{{{x^4} - 3x + 5}}{{{x^2} - 6x + 9}}\]$

Equate denominator equal to zero.

$\[\begin{array}{l}{x^2} - 6x + 9 = 0\\ \Rightarrow {x^2} - 3x - 3x + 9 = 0\\ \Rightarrow x\left( {x - 3} \right) - 3\left( {x - 3} \right) = 0\\ \Rightarrow {\left( {x - 3} \right)^2} = 0\\ \Rightarrow x = 3\end{array}\]$

Hence a single value of x at which expression is undefined.

Hence the correct option is (A) i.e. 1