Q.1.Let a,b,c be real.ax 2 +bx+c has real roots alpha and beta (alphabeta).Find the condition on the roots,in relation to p,so that (p 2 )+(c/a) +(p).mod(b/a)

Question

Q.1.Let a,b,c be real.ax 2 +bx+c has real roots alpha and beta (alpha>beta).Find the condition on the roots,in relation to p,so that (p 2 )+(c/a) +(p).mod(b/a)<0.

Akshay Ragupathy · Answer

(alpha, beta =A,B for convenience) p^2 + c/a +p.mod(b/a) p^2 + A*B +p.mod(A+B) 0 p^2 + A*B +p(A+B) -A B< p <A (from wavy curve)

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Q.1.Let a,b,c be real.ax 2 +bx+c has real roots alpha and beta (alpha>beta).Find the condition on the roots,in relation to p,so that (p 2 )+(c/a) +(p).mod(b/a)

Q.1.Let a,b,c be real.ax²+bx+c has real roots alpha and beta (alpha>beta).Find the condition on the roots,in relation to p,so that (p²)+(c/a) +(p).mod(b/a)<0.

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