Let `a ,b ,c` be real. If `a x^2+b x+c=0` has two real roots `alphaa n dbeta,w h e r ealpha<<-1a n dbeta>>1` , then show that `1+c/a+|b/a|<0`

Let a ,b ,c be real. If a x^2+b x+c=0 has two real roots alpha and beta ,where alpha 1 , then show that 1+c/a+|b/a|<0

Let a,b,c be real. If ax^2+bx+c=0 has two real roots alpha,beta where alphalt-1 and betagt 1 ,then show that 1+c/a+abs(b/a)lt0 .

Let a,b,c be real.If ax^(2)+bx+c=0 has two real roots alpha and beta, where alpha(:-1 and beta:)1 ,then show that 1+(c)/(a)+|(b)/(a)|<0

Let a, b, c be real. If a x^(2)+b x+c=0 has two real roots alpha and beta such that alpha lt -1 and beta gt 1 , then 1+(c)/(a)+|(b)/(a)| is

Given that a x^2+b x+c=0 has no real roots and a+b+c 0 d. c=0

Given that a x^2+b x+c=0 has no real roots and a+b+c 0 d. c=0

If the equation a x^2+b x+c=0(a >0) has two real roots alphaa n dbeta such that alphalt-2 and betagt2, then which of the following statements is/are true? (a) a-|b|+c<0 (b) clt0,b^2-4a cgt0 (c) 4a-2|b|+c<0 (d) 9a-3|b|+c<0