For the rational function h(x)= x^2+3 x (x^2-2(k-1)x+k^2+1 )

MATHEMATICS · Subjective · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

For the rational function

h(x)=\frac{x^2+3}{x\bigl(x^2-2(k-1)x+k^2+1\bigr)},

find all real values of

k

such that

x=0

is the only real number at which

h(x)

is undefined.