(a+beta)^(2)-2a beta=

Prove that alpha^(2)+beta^(2)=(alpha+beta)^(2)-2 alpha beta

If a,beta in R satisfies a^(2)+beta^(2)-2a+6 beta+1=0 then least possible value of a^(2)+beta^(2)-2a-4 beta is

If alpha,beta are the zeroes of the polynomials f(x)=x^(2)-3x+6 then find the value of (1)/(alpha)+(1)/(beta)+alpha^(2)+beta^(2)-2 alpha beta

alpha+beta are the zeroes of the polynomial x^(2)-6x+4 , then the value of ((alpha+beta)^(2)-2alpha beta)/(alpha beta) is

If alpha and beta are the zeroes of the quadratic polynomial x^(2)-kx+15 such that (alpha+beta)^(2)-2 alpha beta=34 Find k

If alpha and beta are the zeroes of quadratic polynomial x^(2)-kx+15 such that (alpha+beta)^(2)-2 alpha beta=34. find k

If alpha and beta are the roots of x^(2)-p(x+1)-c=0, then the value of (alpha^(2)+2 alpha+1)/(alpha^(2)+2 alpha+c)+(beta^(2)+2 beta+1)/(beta^(2)+2 beta+c)

If alpha and beta the roots of the equation ax^(2)+bx+c=0 then the sum of roots of the equation a^(2)x^(2)+(b^(2)-2ac)x+b^(2)-4ac=0(i)-(alpha^(2)-beta^(2))(ii)(alpha+beta)^(2)-2 alpha beta(iii)alpha^(2)beta+beta^(2)alpha+2 alpha beta(iv)(alpha^(2)+beta^(2))