Question

For the given equation $x^2-5x+6=0$, for how many values of $x$ does this equation hold true?

• A. 3 values
• B. 2 values
• C. 1 value
• D. All values

Answer 1

The correct option is B

2 values

An equation cannot be true for all values of its variables.
$x^2-5x+6=0$
Factorizing $x^2-5x+6$, 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 $x$.