If a,b,c d `in R` such that `(a+2c)/(b+3d) +4/3=0,` then the equation `ax ^(3) + bx^(3)+ cx+d =0` has

If a,b,c are real numbers such that (3a+2b)/(c+d) + ( 3)/( 2) = 0 then the equation ax^(3) + bx^(2) + cx + d = 0 has

If a, b, c, d are real numbers such that (3a + 2b)/(c+d)+3/2=0 then the equation ax^3 + bx^2 + cx + d =0 has

If a,b,c,d are real numbers such that (3a+2b)/(c+d)+(3)/(2)=0 then the equation ax^(3)+bx^(2)+cx+d=0 has

If a, b, c, d are real numbers such that (a+2c)/(b+3d)+(4)/(3)=0 . Prove that the equation ax^(3)+bx^(2)+cx+d=0 has atleast one real root in (0, 1).

If a, b, c, d are real numbers such that (a+2c)/(b+3d)+(4)/(3)=0 . Prove that the equation ax^(3)+bx^(2)+cx+d=0 has atleast one real root in (0, 1).

If a, b, c in R and 2a + 3b + 6c = 0, then the equation ax^(2) + bx + c = 0 has

If (12a+5b)/(15)=-((c+d))/(4), then the equation ax^(4)+bx^(2)+cx+d=0 has

If a, b , c in R and 3b^(2)-8ac lt 0 , then the equation ax^(4)+bx^(3)+cx^(2)+5x-7=0 has a) all real roots b) all imaginary roots c)exactly two real and two imaginary roots d) none

If a, b , c in R and 3b^(2)-8ac lt 0 , then the equation ax^(4)+bx^(3)+cx^(2)+5x-7=0 has