Assuming this question associates "solutions" with "zeros", then the answer is
x^2 + 2x + 3
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If we set x^2 + 2x + 3 to equal 0, we have
x^2 + 2x + 3 = 0
The discriminant of this equation of the form ax² + bx + c = 0 is
discriminant = b² - 4ac = 2^2 - 4(1)(3) = -8
The discriminant is negative, so there are no real solutions (the discriminant is under a square root in the quadratic equation; square root of a negative number is not a real number)