Question: Use four-digit chopping arithmetic and the formulas (1.1), (1.2), and (1.3) to find the most accurate approximations to the roots of the following quadratic equations.
Use four-digit chopping arithmetic and the formulas (1.1), (1.2), and (1.3) to find the most accurate approximations to the roots of the following quadratic equations. Compute the absolute errors and relative errors.
a. 1/3 x2 - 123/4 x + 1/6 = 0
b. 1/3 x2 + 123/4 x - 1/6 = 0
c. 1.002x2 − 11.01x + 0.01265 = 0
d. 1.002x2 + 11.01x + 0.01265 = 0
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