Let `a,b and c` be real numbers such that `4a+2b+c=0 and ab lt 0`.Then the equation `ax^2+bx+c=0`.

Let a, b and c be real numbers such that 4a + 2b + c = 0 and ab gt 0. Then the equation ax^(2) + bx + c = 0 has

20.Let a,b and c be real numbers such that 4a+2b+c=0 and ab>0, Then the equation ax^(2)+bx+c=0 has ( A) real roots (B) imaginary roots (C) exactly one root (D) roots of same sign

Let a,b and c be three real numbers,such that a+2b+4c0. Then the equation ax^(2)+bx+c=0

If a,b,c, are real number such that ac!=0 , then show that at least one of the equations ax^(2)+bx+c=0 and -ax^(2)+bx+c=0 has real roots.

Let a,b,c be real numbers with a =0 and let alpha,beta be the roots of the equation ax^(2)+bx+C=0. Express the roots of a^(3)x^(2)+abcx+c^(3)=0 in terms of alpha,beta

Let a,b,c be real numbers with a!=0 and let alpha,beta be the roots of the equation ax^(2)+bx+c=0. Express the roots of a^(3)x^(2)+abcx+c^(3)=0 in terms of alpha,beta.

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

Let a,b,c in R and a ne 0 be such that (a + c)^(2) lt b^(2) ,then the quadratic equation ax^(2) + bx +c =0 has