Question

The quadratic equation hx²+x+2hx+h=1. Find the value of h

Answer 1

Given,

The expression is hx²+x+2hx+h=1.

Taking the expression as,

`\begin{gathered} hx^(2)+x+2hx+h=1. \\ hx^(2)+2hx+h=1-x. \\ h(x^2+2x+1)=1-x \\ h=(1-x)/((x^2+2x+1)) \end{gathered}`

Hence, the value of h is (1-x)/(x^2+2x+1).