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Relation between Roots and Coefficients for Quadratic

If the roots ...

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If the roots of the equation px^2 + qx + r = 0, where 2p, q, 2r are in G.P, are of the form a^2 , 4a — 4. Then the value of 2p + 4q + 7r is :

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Q. If the roots of the equation

{p x}^{2} + q x + r = 0

2 p, q, 2 r

G . P

α^{2}, 4 α - 4

than the value of

2 p + 4 q + 7 r

Q. If the roots of the equation,

x^{3} + p x^{2} + q x - 1 = 0

form an increasing G.P where p and q are real, then

p, q, r

p \neq q,

then roots of the equation

(p - q) x^{2} + 5 (p + q) x - 2 (p - q) = 0

p, q

are odd integers, then the roots of the equation

2 p x^{2} + (2 p + q) x + q = 0

Q. Condition for the roots of the equation

x^{3} - p x^{2} + q x - r = 0

G . P

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