Question

find the value x to the power of 2+ y to the power of 2,if x+y=6,xy=8​

Answer 1

Answer:

6758064548

Step-by-step explanation:

6758064548

Answer 2

Question : Find the value of x² + y², if x + y = 6 and xy = 8

Given : x + y = 6 and xy = 8

To Find : Value of x² + y²

Answer : x² + y² = 20

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• We need to use an algebraic identify to solve this question and that identify will (a + b)² = a² + b² + 2ab

Process to Solve :

First We Take x and y in place of a and b in the algebraic identify used , Then we expand it and substitute the values which are given. Transposing the constants leave us with x² + y², and Finally we can find the value !!!

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• Take x and y in place of a and b in (a + b)² = a² + b² + 2ab

⇒ (x + y)² = x² + y² + 2xy

• Substitute the value of x + y

⇒ (6)² = x² + y² + 2xy

⇒ 36 = x² + y² + 2xy

• Substitute the Value of xy

⇒ 36 = x² + y² + 2(8)

⇒ 36 = x² + y² + 16

⇒ 36 - 16 = x² + y²

⇒ 20 = x² + y²

• Switch Sides

⇒ x² + y² = 20