Question

give ans get brianliest​

Answer 1

Step-by-step explanation:

please mark in brainlist.

sorry for 3&4.

Answer 2

Step-by-step explanation:

Q1)

Given -

◕ x² + y² = 74

◕ xy = 35

To Find -

➳ Value of x + y and x - y

Now,

⇝ x² + y² = 74

Adding 2xy both sides :-

⇝x² + y² + 2xy = 74 + 2xy

⇝ (x + y)² = 74 + 2(35)

⇝ (x + y)² = 74 + 70

⇝ x + y = √144

⇝ x + y = 12

And

⇝ x² + y² = 74

Substracting 2xy both sides :-

⇝x² + y² - 2xy = 74 - 2xy

⇝ (x - y)² = 74 - 2(35)

⇝ (x - y)² = 74 - 70

⇝ (x - y)² = 4

⇝ x - y = √4

⇝ x - y = 2

Hence,

The value of x + y is 12 and x - y is 2.

Q2)

Given -

◕ x - y = 7

◕ xy = 8

To Find -

➳ Value of x² + y²

Now,

⇝ x - y = 7

Squaring both sides :-

⇝(x - y)² = (7)²

⇝ x² + y² - 2xy = 49

⇝ x² + y² = 49 + 2(8)

⇝ x² + y² = 49 + 16

⇝ x² + y² = 65

Hence,

The value of x² + y² is 65.

Q3)

Given -

◕ x² + 1/x² = 7

To Find -

➳ Value of x + 1/x

Now,

⇝x² + 1/x² = 7

Adding 2 × x × 1/x both sides :-

⇝x² + 1/x² + 2 × x × 1/x = 7 + 2 × x × 1/x

⇝ (x + 1/x)² = 7 + 2

⇝ x + 1/x = √9

⇝ x + 1/x = 3

Hence,

The value of x + 1/x is 3.

Q4)

Given -

◕ x + y = 8

◕ xy = 12

To Find -

➳ Value of x² + y²

Now,

⇝x + y = 8

Squaring both sides :-

⇝(x + y)² = (8)²

⇝ x² + y² = 64 - 2xy

⇝ x² + y² = 64 - 2(12)

⇝ x² + y² = 64 - 24

⇝ x² + y² = 40

Hence,

The value of x² + y² is 40.