Find the equation whose roots are `(a) a/b & b/a`

Suppose a^(2) = 5a - 8 and b^(2) =5b - 8 , then equation whose roots are (a)/(b) and (b)/(a) is

If alpha ,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 then find the equation whose roots are (alpha + beta)^2 and (alpha-beta)^2

If alpha ,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 then find the equation whose roots are (alpha + beta)^2 and (alpha-beta)^2

If alpha ,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 then find the equation whose roots are (alpha + beta)^2 and (alpha-beta)^2

If x^(2) - 3x + 2 is a factor of x^(4) - ax^(2) + b then the equation whose roots are a and b is

If a ne b and a^(2)=5a-3,b^(2)=5b-3 , then form that equation whose roots are a/b and b/a .

If alpha,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 , then find the equation whose roots are (alpha+beta)^2a n d(alpha-beta)^2

Let alpha,beta are the roots of x^2+b x+1=0. Then find the equation whose roots are - (alpha+1//beta)and-(beta+1//alpha) .

If alpha,beta,gamma are the roots of the equation x^(3)+qx+r=0 then find the equation whose roots are ( a )alpha+beta,beta+gamma,gamma+alpha(b)alpha beta,beta gamma,gamma alpha