For what values of `a` do the roots `x_1` and `x_2` of the equation `x^2-(3a+2)x+a^2=0` satisfy the relation `_1=9x_2` Find the roots

For what values of a, the roots of the quadratic equation x^(2)-(3a-1)x+2a^(2)+2a-11=0 are equal ?

Find the roots of the equation 2x^(2)-9x-18=0

If roots alpha,beta of the equation x^2-p x+16=0 satisfy the relation alpha^2+beta^2=9 , then write the value of pdot

The roots of the equation x^(2/3)+x^(1/3)-2=0 are

The roots of the equation x^(2/3)+x^(1/3)-2=0 are

For what real values of a do the roots of the equation x^2-2x-(a^2-1)=0 lie between the roots of the equation x^2-2(a+1)x+a(a-1)=0.

For what real values of a do the roots of the equation x^2-2x-(a^2-1)=0 lie between the roots of the equation x^2-2(a+1)x+a(a-1)=0.

For what real values of a do the roots of the equation x^(2)-2x-(a^(2)-1)=0 lie between the roots of the equation x^(2)-2(a+1)x+a(a-1)=0

Find the roots of the equation 2x^2 - x + 1/8 = 0

FInd the roots of the equation 2x^(2)-x+(1)/(8)=0