The sum of two numbers is 17 and their product is 34.Find the sum of their squares.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 222
Given:
Sum of two numbers = 17
Product of two numbers = 34
Formula used:
(x + y)2 = x2 + y2 + 2xy ---- (1)
Calculations:
Let the two numbers be x and y
According to the question;
⇒ x + y = 17 and xy = 34
Using equation (1), we get
⇒ (x + y)2 = x2 + y2 + 2xy
⇒ (17)2 = x2 + y2 + 2 × 34
⇒ 289 - 68 = x2 + y2
⇒ x2 + y2 = 221