SOLUTION: The polynomial equation {{{x^3 + bx + c = 0}}}, where b and c are rational numbers, has {{{5-sqrt( 2 )}}} as a root. It also has an integer root. What is it?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: The polynomial equation {{{x^3 + bx + c = 0}}}, where b and c are rational numbers, has {{{5-sqrt( 2 )}}} as a root. It also has an integer root. What is it?      Log On


   



Question 1156972: The polynomial equation x%5E3+%2B+bx+%2B+c+=+0, where b and c are rational numbers, has 5-sqrt%28+2+%29 as a root. It also has an integer root. What is it?
Answer by josgarithmetic(39617) About Me  (Show Source):
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identical to already solved:
https://www.algebra.com/algebra/homework/Radicals/Radicals.faq.question.1156969.html
https://www.algebra.com/algebra/homework/Radicals/Radicals.faq.question.1156969.html