2x - 4² + 2² = 100
Nilai x?
[tex].[/tex]
Jawab:
--
[tex]\tt \:2x - 4² + 2² = 100 [/tex]
[tex]\tt \:2x - (4 × 4)+ 2² = 100[/tex]
[tex]\tt \:2x - 16 + 2² = 100[/tex]
[tex]\tt \:2x - 16 + (2 × 2) = 100[/tex]
[tex]\tt \:2x - 16 + 4 = 100[/tex]
[tex]\tt \:2x (- 16 + 4) = 100[/tex]
[tex]\tt \:2x - 12 = 100[/tex]
[tex]\tt \:2x = 100 + 12 [/tex]
[tex]\tt \:2x = 112 [/tex]
[tex]\tt \:x = \sf \frac{112}{2} [/tex]
[tex]\tt \:x =\color{red} 56 [/tex]
--
Pembuktian:
[tex]\tt \:2x - 4² + 2² = 100[/tex]
[tex]\tt \:x → 56[/tex]
--
[tex]\tt \:2x - 4² + 2² = 100[/tex]
[tex]\tt \:2(56) - 4² + 2² = 100[/tex]
[tex]\tt \:(2 × 56) - 4² + 2² = 100[/tex]
[tex]\tt \:112 - 4² + 2² = 100[/tex]
[tex]\tt \:112 - (4 × 4) + 2² = 100[/tex]
[tex]\tt \:112 - (4 + 4 + 4 + 4) + 2² = 100[/tex]
[tex]\tt \:112 - (8 + 4 + 4) + 2² = 100[/tex]
[tex]\tt \:112 - (12 + 4) + 2² = 100[/tex]
[tex]\tt \:112 - 16 + 2² = 100 [/tex]
[tex]\tt \:112 - 16 + (2 × 2) = 100[/tex]
[tex]\tt \:112 - 16 + 4 = 100 [/tex]
[tex]\tt \:112 - 16 + 4 = 100 [/tex]
[tex]\tt \:96 + 4 = 100[/tex]
[tex]100 = \color{red}100[/tex]
--
[tex]{ \boxed{ \tt{ \colorbox{black}{ \color{Aqua}{༻✧༺ Kai ♡ Air ༻✧༺}}}}} [/tex]
- Penyelesaian Soal -
[tex] [/tex]
[ Soal ]
[tex] \sf \: 2x - 4 {}^{2} + 2 {}^{2} = 100[/tex]
[tex] \sf \: x = ..[/tex]
Penyelesaian :
- 2x - 4² + 2² = 100
- 2x - ( 4 × 4 ) + ( 2 × 2 ) = 100
- 2x - 16 + 4 = 100
- 2x = ( 100 + 16 - 4 ) ÷ 2
- 2x = 116 - _ ÷ 2
- x = 112 ÷ 2
- x = 56
Pembuktian :
- 2x - 4² + 2² = 100
- 2(56) - 4² + 2² = 100
- (2 × 56) - ( 4 × 4 ) + ( 2 × 2 ) = 100
- 112 - 16 + 4 = 100
- 96 + 4 = 100
- 100 = 100 ( Terbukti ) ✔️
Kesimpulan
- Maka, Nilai x = 56 [✔️]
