Math  /  Algebra

QuestionEstimate the root(s) of the function f(x)=x2+x55f(x)=x^{2}+x-55 by integers. Seperate your answer(s) by commas. The roots are \approx \square Remark: When choosing a number to start Newton's method, it is important that you choose a number close to the root that you're trying to estimate (or else, Newton's method might end up giving you an estimate of the wrong root).

Studdy Solution
Verify the estimates. Since f(7) f(-7) and f(7) f(7) are closer to zero than f(6) f(-6) and f(8) f(8) , the best integer estimates for the roots are x7 x \approx -7 and x7 x \approx 7 .
The roots are approximately:
7,7 \boxed{-7, 7}

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