Which of the following is/are always false ? (a) A quadratic equation with rational coefficients has zero or two irrational roots. (b) A quadratic equ

shadsiei 2020-12-12 Answered
Which of the following is/are always false ?
(a) A quadratic equation with rational coefficients has zero or two irrational roots.
(b) A quadratic equation with real coefficients has zero or two non - real roots
(c) A quadratic equation with irrational coefficients has zero or two rational roots.
(d) A quadratic equation with integer coefficients has zero or two irrational roots.
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BleabyinfibiaG
Answered 2020-12-13 Author has 118 answers
It is known that a quadratic equation that have rational coefficient can have zero, rational or irrational roots.
But the quadratic equations that have irrational coefficient has only zero or irrational coefficient.
Thus, the statement "(c) A quadratic equation with irrational coefficients has zero or two rational roots ." is always false.
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