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# need help with roots

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If A and B are the roots of the equation 3x^2 + 2x - 3 = 0, where B < A, find the value of each of the following.

a. 1/A + 1/B =
b. A^2 + B^2 =
c. A - B =
d. A^3 - B^3 = ​

Feb 9, 2021

Using the quadratic formula, $$A = \frac{-1}{3} + \frac{\sqrt{10}}{3}$$ and $$B = \frac{-1}{3} - \frac{\sqrt{10}}{3}$$. Try to do the rest on your own.