Question

14. If x + y = 12 and xy = 14, find the value of (x² + y²).
2
2​

Answer 1

Answer:

116

Step-by-step explanation:

We have,

⇒ x + y = 12

⇒ (x + y)² = (12)²

⇒ x² + 2xy +y² = 144

Substituting the given value of xy in the equation,

⇒ x² + 2 * 14 + y² = 144

⇒ x² + y² + 28 = 144

⇒ x² + y² = 144 - 28

               = 116

I do so hope that this helps you, mate!