Question

if x + y = 12 and xy = 32 , find the value of x² + y²​

Answer 1

☘ Question Given :

• If x + y = 12 and xy = 32 , find the value of x² + y².

☘ Find :

• x² + y²

☘ Required Solution :

★ Value Given to Us -

• x + y = 12
• xy = 32

★ By Using -

• (x + y)² = x² + 2xy + y²

★ According to Question -

➻ (12)² = x² + 64 + y²

➻ 144 = x² + y² + 64

➻ 144 - 64 = x² + y²

➻ 80 = x² + y²

Therefore,

• Hence, the value of x² + y² is 80.

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