1). Consider the quadratic equation x^2+ 100 x + 1 = 0 (i) Compute approximate roots...

1). Consider the quadratic equation
x^2+ 100 x + 1 = 0
(i) Compute approximate roots by solving
x^2 -100 x = 0
(ii) Use the quadratic formula to compute the roots of equation
(iii) Repeat the computation of the roots but use 3 digit precision.
(iv) Compute the relative absolute errors in the two 3 digit precision root approximations in (iii).
(v) With x1 =1/2a (-b + sqrt b^2 - 4ac and x2 = 1/2a (-b + sqrt b^2 - 4a, show that x1x2 =c/a and Discuss
the conditions under which one of the zeros can be trusted and the other zero not.
(vi) Using your 3 digit precision computations, recompute the second zero by rearranging x1x2 = c/a appromately

Expert Solution

Colby Messinger answered 2 years ago

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