If one of the root of a quadratic equation with rational coefficients is rational, then other root must be
  • a)
    Imaginary
  • b)
    Irrational
  • c)
    Rational
  • d)
    None of these
Correct answer is option 'C'. Can you explain this answer?

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Answers

Ishanya Singh
Jan 31, 2020
Roots occurs along with their conjugatese.g. irrat
ional root occurs with its conjugate and imaginary root occur wit

Also, αβ = r/p, which is also rational. α + β = (a+√b) + (a-√b) = 2a, a rational number and, αβ = (a+√b)(a-√b) = a² - b, a rational number. So, the other root of a quadratic equation having the one root as (a+√b) is (a-√b), where a and b are rational numbers.

Roots occurs along with their conjugatese.g. irrat... moreional root occurs with its conjugate and imaginary root occur wit
Roots occurs along with their conjugatese.g. irrat... moreional root occurs with its conjugate and imaginary root occur wit