Consider: $$(k-1)x^2+2x+1=0.$$ Find every real value of $k$ for which the equation has exactly one

Question

Consider: $$(k-1)x^2+2x+1=0.$$ Find every real value of $k$ for which the equation has exactly one real solution. Explain why using only $\Delta=0$ misses an answer.

Accepted Answer

$k=1$ or $k=2$.

Quadratic Functions, Equations and Inequalities

Quadratic Functions, Equations and Inequalities

Solution:

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