If a, b c are real numbers satisfying the condition `a+b+c=0` then the roots of the quadratic equation `3ax^(2)+5bx+7c=0` are

If a, b, c are real numbers satisfying the condition a+b+c=0 then the rots of the quadratic equation 3ax^2+5bx+7c=0 are

If a + b + c = 0 then the quadratic equation 3ax^(2) + 2bx + c = 0 has

The quadratic equation ax^(2)+bx+c=0 has real roots if:

Let a,b,c be real numbers in G.P. such that a and c are positive , then the roots of the equation ax^(2) +bx+c=0

If a,b,c are real distinct numbers such that a ^(3) +b ^(3) +c ^(3)= 3abc, then the quadratic equation ax ^(2) +bx +c =0 has (a) Real roots (b) At least one negative root (c) Both roots are negative (d) Non real roots

If a, b, c are positive and a = 2b + 3c, then roots of the equation ax^(2) + bx + c = 0 are real for

Given a,b, c are three distinct real numbers satisfying the inequality a-2b+4c gt0 and the equation ax ^(2) + bx +c =0 has no real roots. Then the possible value (s) of (4a +2b+c)/(a+3b+9c) is/are:

Let a,b,c,d be distinct real numbers and a and b are the roots of the quadratic equation x^2-2cx-5d=0 . If c and d are the roots of the quadratic equation x^2-2ax-5b=0 then find the numerical value of a+b+c+d .

Let a,b, and c be three real numbers satistying [a,b,c][(1,9,7),(8,2,7),(7,3,7)]=[0,0,0] Let b=6, with a and c satisfying (E). If alpha and beta are the roots of the quadratic equation ax^2+bx+c=0 then sum_(n=0)^oo (1/alpha+1/beta)^n is (A) 6 (B) 7 (C) 6/7 (D) oo

Two different real numbers alpha and beta are the roots of the quadratic equation ax ^(2) + c=0 a,c ne 0, then alpha ^(3) + beta ^(3) is: