Let \( f(x) \) be function defined on the set of real numbers to re...

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Let \( f(x) \) be function defined on the set of real numbers to real numbers, such it is continuous on \( R \).
P The equation \( k \cdot e^{x}=5+x+\frac{x^{2}}{2} \) where \( k \) is a positive constant has :

W
(a) exactly two roots
(b) exactly one root
(c) no real root
(d) many roots
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