Question

Which equation has the solution set x = {2,3} ?

a. 2/3x = 0
b. (x - 2) (x - 3) = 0
c. (x + 2) (x + 3) = 0
d. (2x + 3)^2 = 0

Answer 1

I think it's b.

Answer 2

Look at your choices.
a. Is an impossibility unless 2 = 0
c. would result in x= -2 and x = -3
d would result in a double root x=-3

Answer 3

I do too.

Answer 4

Thanks!

Answer 5

It's always a good idea to check any possible solutions

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Checking x = 2

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

(2 - 2)(2 - 3) = 0 ... plug in x = 2

(0)(-1) = 0

0 = 0 ... works

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Checking x = 3

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

(3 - 2)(3 - 3) = 0 ... plug in x = 3

(1)(0) = 0

0 = 0 ... works

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Both possible solutions x = 2 and x = 3 work