1. Tardigrade
  2. Question
  3. Mathematics
  4. The value of k for which the equation kx =( x +1)2 has exactly one real solution, is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The value of $k$ for which the equation $kx =( x +1)^2$ has exactly one real solution, is

Complex Numbers and Quadratic Equations

Solution:

$k x=x^2+2 x+1$
$\Rightarrow x^2+(2-k) x+1=0$
$\text { Put } D=0 $
$\Rightarrow(k-2)^2=4 \Rightarrow k-2= \pm 4 \Rightarrow k=0 \text { or } 4$