The number of integral values of 'm' less than 50, so that the roots of the quadratic equation`mx^2+(2m-1)x+(m-2)=0` are rational are

The roots of the quadratic equation m^2-3m+1=0 are

The roots of the quadratic equation m^2-3m+1=0 are

The roots of the quadratic equation m^2-3m+1=0 are

Prove that the integral values of m for which the roots of the equation mx^(2)+ (2m-1)x+(m-2)=0 are rational are given by the expression n(n+1) , where n is integer.

For what value of m, the roots of the quadratic equation 4x^(2)+4(3m-1)x+(m+7)=0 are reciprocal to each other ?

If the roots of the quadratic equations mx^(2) =6x + 1 are equal , then the value of m is

If the quadratic equation mx^(2)+2x+m=0 has two equal roots, find m?

Find the values of 'm', if the roots of the following quadratic equation are equal, (4+m)x^(2)+(m+1)x+1=0 .

Find the value of m so that the roots of the equation (4-m)x^(2)+(2m+4)x+(8m+1)=0 may be equal.

If m and n are the roots of the quadratic equations x^(2)- 6x+ 2 =0 , then the value of (m+ n )^(2) is