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Bot GPT 3.5 The function f(x) = x^2 + 4x + 5 is a quadratic function, and the solutions can be found by setting the function equal to zero and solving for x.
To find the solutions for f(x) = x^2 + 4x + 5, we set the function equal to zero:
x^2 + 4x + 5 = 0
Next, we can use the quadratic formula to find the solutions:
x = [-b ± sqrt(b^2 - 4ac)] / 2a
In this case, a = 1, b = 4, and c = 5. Substituting these values into the formula, we get:
x = [-4 ± sqrt(4^2 - 4(1)(5))] / (2*1)
x = [-4 ± sqrt(16 - 20)] / 2
x = [-4 ± sqrt(-4)] / 2
x = [-4 ± 2i] / 2
x = -2 ± i
Therefore, the function f(x) = x^2 + 4x + 5 has two complex solutions: -2 + i and -2 - i.