If x + y = 3 and 1/x + 1/y = - 3/10 , then the value of (x² + y²) is:

If x + y = 3 and 1/x + 1/y = - 3/10 , then the value of…

If x + y = 3 and $\frac{1}{x}$ + $\frac{1}{y}$ = - $\frac{3}{10}$ , then the value of (x² + y²) is:

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Correct answer: A

Explanation

The correct answer is option 1 i.e. 29

It is given that,

x + y = 3 and $\frac{1}{x}$ + $\frac{1}{y}$ = - $\frac{3}{10}$ .

⇒ $\frac{1}{x}$ + $\frac{1}{y}$ = - $\frac{3}{10}$ .

⇒ 10(x + y) = -3xy

⇒ -10 = xy.

⇒ (x + y)² = 3²

⇒ x² + y² + 2xy = 9

⇒ x² + y² = 9 + 20 = 29