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
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Ishanya Singh
Jan 31, 2020 |
Roots occurs along with their conjugatese.g. irrat
ional root occurs with its conjugate and imaginary root occur wit
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Kamna Science Academy
Feb 18, 2022 |
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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
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