" Find the value(s) of the positive integer "n" for which the quadratic equation,"sum_(k=1)^(n)(x+k-1)(x+k)=10n" has solution "

The value of the positve integer n for which the quadratic equation sum_(k=1)^(n)(x+k-1)(x+k)=10n has solutions alpha and alpha+1 for some alpha is

The value of the positive integer n for which the quadratic equation sum_(k=1)^n(x+k-1)(x+k)=10n has solutions alpha and alpha+1 for some alpha is

The value of the positve integer n for which the quadratic equation sum_(k=1)^n(x+k-1)(x+k)=10n has solutions alpha and alpha+1 for some alpha is

The value of the positve integer n for which the quadratic equation sum_(k=1)^n(x+k-1)(x+k)=10n has solutions alpha and alpha+1 for some alpha is

The value of the positve integer n for which the quadratic equation sum_(k=1)^n(x+k-1)(x+k)=10n has solutions alpha and alpha+1 for some alpha is

Find the value of k for which the quadratic equations (k+1)x^(2)+2(k-1)x+1=0 has equal roots

The constant term of the quadratic expression sum_(k=2)^n(x-1/(k-1))(x-1/k) , as n->oo is

For which positive integers n is the ratio (sum_(k=1)^(n)k^(2))/(sum_(k=1)^(n)k) an integer?

For which positive integers n is the ratio, (sum+(k=1)^(n) k^(2))/(sum_(k=1)^(n) k) an integer ?

The constant term of the quadratic expression sum_(k=2)^(n)(x-(1)/(k-1))(x-(1)/(k)), as n rarr oo is