Thread: Quadratic Roots
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Old December 3rd, 2008, 04:02 PM
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if r_1 and r_2 are two roots of a quadratic ...

f(x) = k(x - r_1)(x - r_2)

f(x) = k[x^2 -(r_1 + r_2)x + r_1 \cdot r_2]

now, substitute r_1 = 2-\sqrt{3} and r_2 = 2 + \sqrt{3} to determine the basic quadratic in [...], then use the fact that f(1) = -2 to find k
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