Question

Solve the following equation algebraically:

3x^2 = 12
a) +3
b) +2
c) +3.5
d) +1.5

Answer 1

The algebraic solution to the equation 3x ² = 12 is found by dividing both sides by 3 and taking the square root, resulting in x = +2, which matches answer option b).

Step-by-step explanation:

To solve the equation 3x ² = 12 algebraically, we need to find the value of x that makes the equation true. We can start by dividing both sides of the equation by 3, which gives us x ² = 4. Taking the square root of both sides provides us with two possible solutions, x = +2 and x = -2. However, since only the positive solution is listed among the options given, the correct answer to the question is b) +2.