I.` p^(2) -15p+56=0`
II.` q =root(3)(512)`

I. p^(2) - 8p+15 = 0 II. q^(2) - 5q =- 6

I. 3p+2q - 58 = 0 II. 4q+4p= 92

I. p^(2) - 7p=- 12 II. q^(2) - 3q+2=0

I. p^(2) + p = 56 II. q^(2) - 17q+ 72 = 0

I. p^(2) + 12p+35 = 0 II. 2q^(2) + 22q+56 = 0

I. 3p^(2) + 17p+10 = 0 II. 10q^(2) +9q+2=0

I. 3p^(2)+10p+8 = 0 II. 2q^(2) + 3q+1 = 0

I. p^(2)+5p+6 = 0 II. q^(2) + 3q + 2 = 0

If a and b are the roots of x^(2)-3x+p=0 and c,d are the roots x^(2)-12x+q=0 where a,b,c,d form a G.P. Prove that (q+p):(q-p)=17:15.

If 3p^(2) = 5p + 2 and 3q^(2) = 5q + 2, where p ne q , then the equation whose roots are 3p - 2q and 3q - 2p is :