" 4."x^(2)-(2b-1)x+(b^(2)-b-20)=0

Solve each of the following quadratic equations: x^(2)-(2b-1)x+(b^(2)-b-20)=0

find the roots of the following equation by applying the quadratic formula x^2-(2b-1)x+(b^2-b-20)=0

find the roots of the following equation by applying the quadratic formula x^2-(2b-1)x+(b^2-b-20)=0

Let f(x)=(a_(2k)x^(2k)+a_(2k-1)x^(2k-1)+...+a_(1)x+a_(0))/(b_(2k)x^(2k)+b_(2k-1)x^(2k-1)+...+b_(1)x+b_(0)) , where k is a positive integer, a_(i), b_(i) in R " and " a_(2k) ne 0, b_(2k) ne 0 such that b_(2k)x^(2k)+b_(2k-1)x^(2k-1)+...+b_(1)x+b_(0)=0 has no real roots, then

Let f(x)=(a_(2k)x^(2k)+a_(2k-1)x^(2k-1)+...+a_(1)x+a_(0))/(b_(2k)x^(2k)+b_(2k-1)x^(2k-1)+...+b_(1)x+b_(0)) , where k is a positive integer, a_(i), b_(i) in R " and " a_(2k) ne 0, b_(2k) ne 0 such that b_(2k)x^(2k)+b_(2k-1)x^(2k-1)+...+b_(1)x+b_(0)=0 has no real roots, then

If a!=(+-)b and a+b!=1 then find the value of x satisfying the equation (a^(4)-2a^(2)b^(2)+b^(4))^(x-1)=(a-b)^(2x)(a+b)^(-2)

Suppose a,b epsilon R and |(x,a,b),(a,x,b),(b,b,x)|-4k(x-a)(x^(2)+ax-2b^(2))=0 then a value of k is ________

If (1+x+x^(2))^(n)=b_(0)+b_(1)x+b_(2)x^(2)+….+b_(2n)x^(2n) then prove that If n=25, b_(0)-b_(2)+b_(4)-b_(6)+….-b_(2n)=0