Re: ( x + 3)(x 2)^2(x23)(2x 4) = 0
[#permalink]
25 May 2023, 13:23
OE
We have to compare
Quantity A: The number of integer values of x for which above equation is true
Quantity B: 3
If the product of numbers is 0; then, at least one of them has to be 0.
Therefore, either 𝑥 + 3 = 0 or 𝑥 − 2 = 0 or 𝑥
2 − 3 = 0 or 2𝑥 – 4 = 0
i.e. 𝑥 = −3 or 𝑥 = 2 or 𝑥^2 = 3 or 2𝑥 = 4
Since, we want to find the number of integer values of x from the above equations,
𝑥^2 = 3 is giving me 𝑥 = ±√3 which is not integer.
Also, 2𝑥 = 4 gives us 𝑥 = 2.
So, we can see that the integer values of 𝑥 are -3 and 2.
Hence, quantity B is greater.
Ans. (B)