`3x^(2) - 10 x + 3 = 0`.

Determine the nature of the roots of the following equatins : (a) x^(3) + 2x +4 = 0 (b) 3x^(2) - 10x + 3 = 0 (c ) x^(2) - 24x + 144 = 0

Find the value of m for which the quadratic equation , 3x^(2) + 10x + (m-3) = 0 has roots which are reciproal to each other.

If the sum of two of the roots of x^(4) - 2x^(3) - 3x^(2) + 10x - 10 = 0 is zero then the roots are

I. 3x^(2) - 17x+10 = 0 II. 2y^(2) -5y+3 = 0

Solve the following equations. 3^(2x) - 10.3^x +9 =0 .

The four lines given by 3 x^(2)+10 x y+3 y^(2)=0 and 3 x^(2)+10 x y+3 y^(2)-28 x-28 y+49=0 form a