27
If x = 3/2, then the value of 27x3 – 54x2 + 36x – 11 is
- A\(11\frac{3}{8}\)
- B\(11\frac{5}{8}\)
- C\(12\frac{3}{8}\)
- D\(12\frac{5}{8}\)
Answer not set
Discussion 1
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CCommunity
Given,
f(x) = 27x3 – 54x2 + 36x – 11
$\begin{array}{l} f\left( {\frac{3}{2}} \right)\; = \;27\; \times \;{\left( {\frac{3}{2}} \right)^3}\;-\;54\; \times \;{\left( {\frac{3}{2}} \right)^2}\; + \;36\; \times \;\left( {\frac{3}{2}} \right)\;-\;11\; = \frac{{729}}{8}\;-\frac{{243}}{2}\; + \;54\;-\;11\; = \frac{{101}}{8}\; = \;12\frac{5}{8}\\ \therefore \;f\left( {\frac{3}{2}} \right)\; = \;12\frac{5}{8} \end{array}$
f(x) = 27x3 – 54x2 + 36x – 11
$\begin{array}{l} f\left( {\frac{3}{2}} \right)\; = \;27\; \times \;{\left( {\frac{3}{2}} \right)^3}\;-\;54\; \times \;{\left( {\frac{3}{2}} \right)^2}\; + \;36\; \times \;\left( {\frac{3}{2}} \right)\;-\;11\; = \frac{{729}}{8}\;-\frac{{243}}{2}\; + \;54\;-\;11\; = \frac{{101}}{8}\; = \;12\frac{5}{8}\\ \therefore \;f\left( {\frac{3}{2}} \right)\; = \;12\frac{5}{8} \end{array}$