Question

Find the maximum value of the expression x^4-8x^3+18x^2-8x+20 when x =2

Answer 1

$\: \: \: \green{ \huge \frak{ \star \:Hola! \: Mate \: \star}} \\ \\ \: \: \: \: \red {\boxed{\mathbb{✓ \: Here \: Is \: Your \: Answer \: ✓ \: } }}\\ \\ \underline{ \bf{QUESTION}} : \\ \\ \tiny \bf{Find \: the \: maximum \: value \: of \: the \: expression} \huge{ \rightarrow} \\ \tiny \bf{ \: {x}^{4} - {8x}^{3} + {18x}^{2} - 8x + 20 \: when \: x =2.} \\ \\ \underline{\bf{SOLUTION}} : \\ \\ \large\frak{where \: x = 2} \\ \\ \pink{ \underline{\tiny\mathcal{PUTTING \: THE \: VALUE \: OF \: ' X ' \: IN \: THAT \: EQUATION.}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \red{ \underline{\tiny \bf{ {x}^{4} - {8x}^{3} + {18x}^{2} - 8x + 20} }}\\ \tiny \blue{✓ \: ({2)}^{4} - 8(2)^{3} + 18( {2})^{2} - 8(2) + 20 \: ✓ } \\ \\ \small 16 - 8 \times 8 + 18 \times 4 - 8 \times 2 + 20 \\ \\ = > \red{\cancel{ 16} }- 64 + 72 - \red{\cancel{16}} + 20 \\ \\ > > \: 72 + 20 - 64 \\ \\ > > \: 92 - 64 \\ \\ \bf{ > > \: 28} \: \: \: \: \: \color{orange}\underline{\underline \mathcal{ANSWER}}$