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

  1. Complex

  2. Imaginary

  3. Linear

  4. Real

The correct answer is: Real

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.