Question

If a + 2b + 4c = 0, ac < 0 and one root of the equation ax2 + bx + c = 0 is square of the other than
A. a and b have same sign
B. band c have opposite sign
C. both roots are rational
D. both roots are irrational​

Answer 1

Answer:

C. Both roots roots are rational

Step-by-step explanation:

When we put x = 1/2 in ax2 + bx + c = 0

We get, a + 2b + 4c = 0 so,

One root is 1/2

According to question one root is square of other,

So another root is always positive.

If 1/2 is square of other root, then other root can be negative. So best answer is option C.

Conclusion : Both are rational

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