Jika: x = 2 + √7 y = 2 – √7 Nilai dari x² + y² – 4ab adalah …​

Jika:

x = 2 + √7
y = 2 – √7

Nilai dari x² + y² – 4ab adalah …​

Jawaban dari pertanyaan di atas adalah 12.

Soal di atas diasumsikan:
Jika:
x = 2 + √7
y = 2 – √7
Nilai dari x² + y² – 4xy adalah

Perhatikan konsep berikut.
(x – y)² = x² – 2xy + y²
(x + y)(x – y) = x² – y²

Sehingga nilai dari x² + y² – 4xy yaitu:
x² + y² – 4xy
= x² + y² – 2xy – 2xy
= (x – y)² – 2xy
= (2 + √7 – (2 – √7))² – 2(2 + √7)(2 – √7)
= (2 + √7 – 2 + √7)² – 2(2 + √7)(2 – √7)
= (√7)² – 2(2 + √7)(2 – √7)
= 7 – 2(2² – √7²)
= 6 – 2(4 – 7)
= 6 – 2(-3)
= 6 + 6
= 12

Jadi nilai dari x² + y² – 4xy adalah 12.
Semoga membantu ya, semangat belajar 🙂

Rekomendasi lainnya :

Baca Juga :  Every mornIng I 1.____ at five o'clock. First. I go to the 2.____. I 3.____ my teeth and take a bath. After that, I get 4.____ and comb my hair. Then I go to the 5.____. I eat sandwich and a glass of milk for breakfast. Then, I go to 6.____ by my 7.____. I 8.____ at school and then I study. I go 9.____ at one o'clock. I have 10.____ and play with my friends. In The evening, I 11.____ dinner with my family and then we 12.____ watching TV. I do my 13.____. I go to 14.____ at half past nine.
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