If x + y = 7 and xy = 19, then calculate the value of x² + y².
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 11.
Given that
If x + y = 7 and xy = 19,
Calculation
x + y = 7
Squaring both sides
⇒ x² + y² + 2xy = 49
⇒ x² + y² = 49 - 2 × 19 = 49 - 38 = 11