Question

P(x) = 4x⁴ - 7√3x + 17 then find P(5√3)​

Answer 1

$\LARGE\textbf{\underline{\underline{✪\: \: \: Answer :-}}}$

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• P( x ) = 4x⁴ - 7√3x + 17 .

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$\large:\: \bigstar\textsf\textcolor{orange}{\: \: \: P ( 5√3 ) = 4 ( 5√3 )⁴ - 7√3 ( 5√3 ) + 17 }\\\\\\\large: \: \Longrightarrow\textsf{\: \: \: = 4 ( 5 × 5 × 5 × 5 √ 3 × 3 × 3 × 3 ) - ( 7 × 5 √3 × 3 ) + 17 }\\\\\\\large: \: \Longrightarrow\textsf{\: \: \: = 4 ( 625√81 ) - ( 35√9 ) + 17}\\\\\\\large: \: \Longrightarrow\textsf{\: \: \: = 4 ( 625 × 9 ) - ( 35 × 3 ) + 17}\\\\\\\large: \: \Longrightarrow\textsf{\: \: \: = 4 ( 5625 ) - ( 105 ) + 17 }\\\\\\\large: \: \Longrightarrow\textsf{\: \: \: = 22500 - 105 + 17 }\\\\\\\large : \: \Longrightarrow\underline{\boxed{\textsf\textcolor{purple}{P ( 5√3 ) = 22412 }}}$

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Answer 2

Step-by-step explanation:

p(5√3)= 4(5√3)⁴-7√3(5√3)+17

= 22500-105+17

= 22412.