iran-konkur 2019 Q103

iran-konkur · Other · konkur-riazi_1398_specialized_new-curriculum Discriminant and conditions for roots Parameter range for specific root conditions (location/count)
103. For which values of $m$, the equation $0 = (2m-1)x^2 + 6x + m - 2 = 0$ has two real roots?
(1) $-2 < m < 2.5$ (2) $-2 < m < 3.5$
(3) $-1 < m < 3.5$ (4) $-1 < m < 2.5$
\noindent\textbf{103.} For which values of $m$, the equation $0 = (2m-1)x^2 + 6x + m - 2 = 0$ has two real roots?

\hfill (1) $-2 < m < 2.5$ \hfill (2) $-2 < m < 3.5$

\hfill (3) $-1 < m < 3.5$ \hfill (4) $-1 < m < 2.5$

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