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Methods of Solving a Quadratic Equation

Quadratic equ...

Question

Quadratic equation with integral coefficients always have integral roots.

A

False

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B

True

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Solution

The correct option is A False

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Q. Say true or false.

A quadratic equation with integral coefficients must have integral roots.

Question 3
Does a quadratic equation with integral coefficient has integral roots. Justify your answer.

α

β

are roots of the quadratic equation

5 x^{2} - 3 x - 1 = 0

, find a quadratic equation with integral coefficients which have the roots.
(a)

\frac{1}{α^{2}}

\frac{1}{β^{2}}

\frac{α^{2}}{β}

\frac{β^{2}}{α}

Q. A quadratic equation with integral coefficients has two different prime numbers as its roots. If the sum of the coefficients of the equation is prime, then the sum of the roots is

Q. One of the roots of a quadratic equation that has integral coefficients is

\frac{- 4}{5} + \frac{3 \sqrt{2}}{8} i

. Which of the following describes the quadratic equation?

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Methods of Solving a Quadratic Equation

Standard XII Mathematics

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