College Algebra Practice Test 2026 | Exam Prep Questions And Answers

Quadratic equation x^2 + 2x + 1 = 0 has what type of solutions?

Complex Imaginary Linear Real

Correct Answer:

Real

Explanation:

Quadratic equation x^2 + 2x + 1 = 0 has real solutions because the equation has a discriminant (b^2 - 4ac) of 0, which means the solutions will be equal. This type of solution is referred to as a perfect square solution. If the discriminant was less than 0, the solutions would be complex or imaginary, and if it was greater than 0, the solutions would be distinct and real. A linear equation has degree 1, so a quadratic equation cannot have linear solutions. Therefore, options A, B, and C are all incorrect.

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