The sum of two numbers is 59 and their product is 1150. Find the sum of their squares?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 1181
Let the numbers be a & b
According to the question
a + b = 59 & ab = 1150
Now,
⇒ (a + b)² = a² + b² + 2ab
⇒ (59)² = a² + b² + 2300
⇒ a² + b² = 3481 - 2300
⇒ a² + b² = 1181