Which of the following values of x does the equation $x^{2} - 5 x + 6 = 0$ hold true?

3 values

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2 values

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1 value

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All values

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Solution

The correct options are
B
2 values

C 1 value
An equation cannot be true for all values of its variables.
$x^{2} - 5 x + 6 = 0$
Factorizing $x^{2} - 5 x + 6$ , we get: $(x - 2) (x - 3)$
$(x - 2) (x - 3) = 0$
So, $x = 2$ and $x = 3$
Here the equation is true for only 2 values of its variable $x$ .

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