If 2a+3b+6c = 0, then show that the equation `a x^2 + bx + c = 0` has atleast one real root between 0 to 1.

If 2a+3b+6c=0 , show that the equation ax^(2)+bx+c=0 has at least one root between 0 and 1.

Statement-1: If a, b, c in R and 2a + 3b + 6c = 0 , then the equation ax^(2) + bx + c = 0 has at least one real root in (0, 1). Statement-2: If f(x) is a polynomial which assumes both positive and negative values, then it has at least one real root.

Statement-1: If a, b, c in R and 2a + 3b + 6c = 0 , then the equation ax^(2) + bx + c = 0 has at least one real root in (0, 1). Statement-2: If f(x) is a polynomial which assumes both positive and negative values, then it has at least one real root.

the quadratic equation 3ax^2 +2bx+c=0 has atleast one root between 0 and 1, if

If a+b + c = 0, then show that the quadratic equation 3ax^(2) + 2bx +c=0 has at least one root in [0,1].

he quadratic equation 3ax^(2)+2bx+c=0 has atleast one root between 0 and 1, if

If 27a+9b+3c+d=0 , then the equation 4ax^(3)+3bx^(2)+2cx+d =0 has atleast one real root lying between

If 2a+3b+6c =0 then the equation ax ^2 + bx +c=0 has atlest one root in

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