College Algebra CLEP Prep Practice Exam

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What is the solution to 2x^2 + 6 = 0?

x = 0
x = -3
x = 3
No solution

The correct answer is: x = -3

In order to solve the given equation, we first need to get x by itself. Since there is no constant term, we can combine the two like terms on the left side. By subtracting 6 from both sides, we get 2x^2 = -6. Next, we can divide both sides by 2 to get x^2 = -3. Now we need to isolate x, so we need to take the square root of both sides. However, when solving for the square root, we need to include both a positive and negative solution. This is because when we square a negative number, we get a positive number. Therefore, the solutions are x = +/- √-3, which simplifies to x = +/- i√3. Since there is no real number solution, the correct answer is D No solution. The other options, such as A: