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 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 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 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 distincr numbers such that a ^(3) +b ^(2) +c ^(3)= 3abc, then the quadratic equation ax ^(2) +bx +c =0 has

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

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then