f(x) = x⁴ + 5² × x(x)
f(5!) = ....
( ̲̅:̲̅:̲̅:̲̅[̲̅ ̲̅]̲̅:̲̅:̲̅:̲̅)
[tex]{\sf{f(5!)}} = {\boldsymbol{\textsf{\textbf{207}}.{\textsf{\textbf{720}}.{\textsf{\textbf{000}}}}}}[/tex]
[tex]\\[/tex]
Penjelasan dengan langkah-langkah :
[tex]{\sf{f(x) = x^4 + 5^2 \times x(x)}}[/tex]
[tex]{\sf{f(x) = x^4 + (5 \times 5) \times x^{1+1}}}[/tex]
[tex]{\sf{f(x) = x^4 + 25 \times x^2}}[/tex]
[tex]{\sf{f(x) = x^4 + 25x^2}}[/tex]
[tex]{\sf{f(5!) = (5!)^4 + 25(5!)^2}}[/tex]
[tex]{\sf{f(5!) = (5 \times 4 \times 3 \times 2 \times 1)^4 + 25(5 \times 4 \times 3 \times 2 \times 1)^2}}[/tex]
[tex]{\sf{f(5!) = (20 \times 3 \times 2 \times 1)^4 + 25(20 \times 3 \times 2 \times 1)^2}}[/tex]
[tex]{\sf{f(5!) = (60 \times 2 \times 1)^4 + 25(60 \times 2 \times 1)^2}}[/tex]
[tex]{\sf{f(5!) = (120 \times 1)^4 + 25(120 \times 1)^2}}[/tex]
[tex]{\sf{f(5!) = 120^4 + 25(120)^2}}[/tex]
[tex]{\sf{f(5!) = (120 \times 120 \times 120 \times 120) + 25(120 \times 120)}}[/tex]
[tex]{\sf{f(5!) = (14.400 \times 120 \times 120) + 25(14.400)}}[/tex]
[tex]{\sf{f(5!) = (1.728.000 \times 120) + (25 \times 14.400)}}[/tex]
[tex]{\sf{f(5!) = 207.360.000 + 360.000}}[/tex]
[tex]{\sf{f(5!) = 207.720.000 \ \checkmark}}[/tex]
5! =
5 × 4 × 3 × 2 × 1
f(x) = x⁴ + 5² × x(x)
f(5!) = 120⁴ + 5² × 120(120)
f(5!) = 207.360.000 + 25 × 14.400
f(5!) = 207.360.000 + 360.000
f(5!) = 207.720.000
[answer.2.content]
