Exer. 81-82: When computations are carried out on a cal- culator, the quadratic formula will not always give accurate results if b' is large in comparison to ac, because one of the roots will be close to zero and difficult to approximate. (a) Use the quadratic formula to approximate the roots of the given equation. (b) To obtain a better approximation for the root near zero, rationalize the numerator to change ーb± VF - 4ac 20 to r = 2a ーb VF - 4ac and use the second formula. 81 x? + 4,500,000x – 0.96 = 0 82 x? - 73,000,000x + 2.01 = 0

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