Question

If x + y = 10 and xy = 12, Find the value of x2 + y​

Answer 1

Correct Question

⇒If x + y = 10 and xy = 12 , find the value of x² + y²

Solution

Given

⇒x + y = 10

⇒xy = 12

To find

⇒Value of x² + y²

We know that

⇒(a + b)² = a² + b² + 2ab

we get

⇒(x + y)² = x² + y² + 2xy

By putting value

⇒(10)² = x² + y² + 2(12)

⇒100 = x² + y² + 24

⇒x² + y² = 100 - 24

⇒x² + y² = 76

Answer

⇒x² + y² = 76

Answer 2

Question:-

• If x + y = 10 and xy = 12, Find the value of x² + y²

To Find:-

• Find the value of x² + y²

Given:-

• x + y = 10
• xy = 12

Formula to be Used:-

• ( a + b )² = a² + b² + 2ab

Solution:-

➝ ( x + y )² = x² + y² + 2xy

➝ ( 10 )² = x² + y² + 2( 12 )

➝ 100 = x² + y² + 24

➝ x² + y² = 100 - 24

➝ x² + y² = 76

Hence ,

• The value of x² + y² = 76