Question

27. Find the value of q so that the equation 2x2 - 3px +5q=0 has one root which twice the other
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Answer 1

Step-by-step explanation:

Sum of roots is according to the given equation. Is 3p/2

As one root is double the other

Let the roots be a, 2a

Sum is 3a thus 3a=3p/2

Therefore the roots are p/2 and p

Substituting x=p in the equation we get 2(p)^2-3p(p)+5q=0

2p^2-3p^2= -5q

-p^2=-5q

Thus q=p^2/5

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