Question

1 find the values of x for which the denominator is equal to zero for
$y = \frac{3x + 6}{x^2 - 5x + 6}$
options:
$x = 2, x = 3$
$x = -2, x = -3$
$x = 1, x = -6$
none

Explanation:

Step1: Identify denominator

Denominator is $x^2 - 5x + 6$.

Step2: Set denominator to zero

Solve $x^2 - 5x + 6 = 0$.

Step3: Factor quadratic equation

$(x - 2)(x - 3) = 0$.

Step4: Find roots

$x = 2$ or $x = 3$.

Step5: Check options

The roots are $x=2$ and $x=3$, which are not listed in the options (the first option's formatting is unclear but not matching). So the answer is none.

Answer:

none