Find the value of p so that the roots of the equation `3x^2-2(7+9p)x+(8-5p)=0` are reciprocal to one another.

For what value of m the roots of the equation x^2-2(5+2m)x+3(7+10m)=0 are reciprocal to one another

Value of p, so that 6 lies between roots of the equation x^2+2(p-3)x+9 =0

If -2 is a root of the equation 3x^(2)+7x+p=0, find the value of k so that the roots of the equation x^(2)+k(4x+k-1)+p=0 are equal.

If 3 is a root of the quadratic equation x^(2)-x+k=0 find the value of p so that the roots of the equation x^(2)+k(2x+k+2)+p=0 are equal.

Find all values of p for which the roots of the equation (p-3)x^2-2px+5p=0 are real and positive

Find all values of p for which the roots of the equation (p-3)x^(2)-2px+5p=0 are real and positive

Find the values of p for whch the equadratic equation (2p+1)x^2-(7p+2)x+(7p-3)=0 has equal roots

Find the value of p so that the equations 4x^(2) - 8px +9=0 has roots whose difference is 4.