Question

Jika √x + √y = 12 dan √x - √y = 8
tentukan nilai x - y​

Answer 1

Jawaban:

96

Penjelasan dengan langkah-langkah:

√x + √y = 12

√x - √y = 8

--------------------- –

2√y = 4

√y = 4/2

(√y = 2)²

y = 4

√x + √y = 12

√x - √y = 8

---------------------- +

2√x = 20

√x = 20/2

( √x = 10)²

x = 100

x - y

= 100 - 4

= 96

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semoga bermanfaat

Answer 2

بِسْـــــــمِ اللّٰهِ الرَّحْمٰنِ الرَّحِيْمِ

Jawaban:

96

Penjelasan dengan langkah-langkah:

√x + √y = 12 ..... (1)

√x - √y = 8 ..... (2)

• Eliminasi nilai x

√x + √y = 12

√x - √y = 8

__________ –

2√y = 4

√y = 4 ÷ 2

√y = 2

y = 2²

y = 4

• Substitusi nilai y ke pers. (2)

√x - √y = 8

<=> √x - √4 = 8

<=> √x - 2 = 8

<=> √x - 2 + 2 = 8 + 2

<=> √x - 0 = 10

<=> √x = 10

<=> x = 10²

<=> x = 100

• Nilai x - y

x - y

= 100 - 4

= 96

وَاللّٰهُ اَعْلَمُ بِاالصَّوَافَ