Let a,b,c,p,q be the real numbers. Suppose α,β are the roots of the equation x2+2px+q=0. and α,β1 are the roots of the equation ax2+2bx+c=0, where β∈/{−1,0,1}. Statement I (p2−q)(b2−ac)≥0 Statement 11 b∈/pa or c∈/qa.

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Let {a},{b},{c},{p},{q} be the real numbers. Suppose , are the

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Let $a, b, c, p, q$ be the real numbers. Suppose $α, β$ are the roots of the equation $x^{2} + 2 p x + q = 0$ . and $α, \frac{1}{β}$ are the roots of the equation $a x^{2} + 2 b x + c = 0$ , where $β \in / {- 1, 0, 1}$ . Statement I $(p^{2} - q) (b^{2} - a c) \geq 0$ Statement 11 $b \in / p a$ or $c \in / q a$ .

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Let

a, b, c, p, q

be the real numbers. Suppose

α, β

are the roots of the equation

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

. and

α, \frac{1}{β}

are the roots of the equation

a x^{2} + 2 b x + c = 0

, where

β \in / {- 1, 0, 1}

. Statement I

(p^{2} - q) (b^{2} - a c) \geq 0

Statement 11

b \in / p a

c \in / q a

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Question Text

Let

a, b, c, p, q

be the real numbers. Suppose

α, β

are the roots of the equation

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

. and

α, \frac{1}{β}

are the roots of the equation

a x^{2} + 2 b x + c = 0

, where

β \in / {- 1, 0, 1}

. Statement I

(p^{2} - q) (b^{2} - a c) \geq 0

Statement 11

b \in / p a

c \in / q a