3. A quadratic equation with integral coefficient has integral roots. Justify your
answer.
4. Does there exist a quadratic equation whose coefficients are rational but both of
its roots are irrational? Justify your answer.
5. Does there exist a quadratic equation whose coefficients are all distinct irrationals
but both the roots are rationals? Why?
6. Is 0.2 a root of the equation x2 – 0.4 = 0? Justify.
7. If b = 0, c < 0, is it true that the roots of x2 + bx + c = 0 are numerically equal and
opposite in sign? Justify.
3)
Here is the link for answer to your query!
6)
Given, x2 - 0.4 = 0
⇒ x2 = 0.4
Hence, 0.2 isn't a root of the given equation.
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