Question

Which of the following is a solution of

3x^2 =7x−3 ?

A) x=1
B) x=−2
C) x=3
D) x= 1 / 3
​

Answer 1

The solution to the equation 3x^2 = 7x - 3, after setting it to zero and solving for x, is B) x = -2.

Step-by-step explanation:

The question asks which of the following is a solution to the quadratic equation 3x^2 = 7x - 3. To solve this, we need to set the equation to zero by subtracting 7x and adding 3 to both sides, resulting in 3x^2 - 7x + 3 = 0. This is now in the standard quadratic form ax^2 + bx + c = 0. We can then either factorize the quadratic, use the quadratic formula, or plug in each of the options to see which one satisfies the equation.

1. Subtract 7x and 3 from both sides of the original equation.
2. Apply the quadratic formula, factorize, or test the given options in the resulting equation.
3. Identify which option solves the equation correctly.

By testing the provided options or solving the equation, we find that the mentioned correct option in the final answer to the equation 3x^2 = 7x - 3 is B) x = -2.