Question

para que valores de K a função f (x) = kx² - 2x + 1 têm raizes reais e iguais ​

Answer 1

$\large\boxed{\begin{array}{l}\rm f(x)=kx^2-2x+1\\\rm f(x)\,tem\,ra\acute izes\,reais\,e\,iguais\\\rm se\,e\,somente\,se\,\Delta=0.\\\rm \Delta=b^2-4ac\\\rm\Delta=(-2)^2-4\cdot k\cdot1\\\rm\Delta=4-4k\\\rm4-4k=0\\\rm 4k=4\\\rm k=\dfrac{4}{4}\\\\\rm k=1\end{array}}$