Question

If x + y = 16 and xy = 28, then x2 + y2 = _____.
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Answer 1

Answer:

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Answer 2

200

Step-by-step explanation:

CORRECT QUESTION :-

If x + y = 16 and xy = 28, then x² + y² = _____.

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SOLUTION :-

Remember,

x² + y² = (x + y)² - 2xy

So,

as we have

• x + y = 16
• xy = 28

So,

x² + y²

= (x + y)² - 2xy

[put the values]

= (16)² - 2(28)

= 256 - 56

= 200

So,

The value of x² + y² = 200.

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MORE TO KNOW :-

• (x + y)² = x² + 2xy + y²
• (x - y)² = x² - 2xy + y²
• x² - y² = (x + y)(x - y)

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Hope it helps.

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