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Bot GPT 3.5 To factorize the quadratic equation x^2 - 11x - 3 = 0, we need to find two numbers whose sum is -11 and whose product is -3.
After experimenting with different numbers, we find that -12 and +1 satisfy these conditions (-12 + 1 = -11 and -12 * 1 = -12).
Therefore, we can rewrite the equation as:
(x - 12)(x + 1) = 0.
Setting each factor equal to zero, we have:
x - 12 = 0 or x + 1 = 0.
Solving these equations, we find:
x = 12 or x = -1.
So, the solutions to the quadratic equation x^2 - 11x - 3 = 0 are x = 12 and x = -1.