Question

The square of a number is equal to two less than three times the number. What are two possible values of the number?

A. 1,2
B. -1,2
C. 1,-2
D. -1,-2
E. 2,3

Answer 1

A, 1,2

Explanation:

we translate it first into language of math

we use n for the number

n² = 3n - 2

then, do some algebra things

n² - 3n + 2 = 0

then factorize it

(n - 2)(n - 1) = 0

first n

n - 2 = 0

n = 2

2nd n

n - 1 = 0

n = 1

so n can be 1 or 2