Question

Which is the solution set for x^2 - 2x + 10 = 0?

A) {1 + 3i, 1 - 3i}
B) {4, -2}
C) {1 + 6i, 1 - 6i}
D) {2 + 6i, 2 - 6i}

Answer 1

The solution set for the equation x^2 - 2x + 10 = 0 is A) {1 + 3i, 1 - 3i}.

Step-by-step explanation:

The solution set for the equation x^2 - 2x + 10 = 0 can be found by using the quadratic formula. For an equation of the form ax^2 + bx + c = 0, the quadratic formula is:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 1, b = -2, and c = 10. Substituting these values into the quadratic formula, we get two complex solutions: {1 + 3i, 1 - 3i}. Therefore, the correct answer is A) {1 + 3i, 1 - 3i}.