Question

(WILL MARK BRAINLIEST FOR THE FIRST TO ANSWER) 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

Answer:

Option A

Step-by-step explanation:

Let us take this number as x, translating this description of the equation into mathematical language;

$x^2 = 3x - 2$

Now let us solve for x;

$x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A$