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The sum of two numbers is 47 and their product is 550. Find the sum of their squares.1. 9862. 8763. 11094. 1209 |
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Answer» Correct Answer - Option 3 : 1109 Given: Sum of 2 numbers = 47 Product of 2 numbers = 550 Formula Used: (a + b)2 = a2 + b2 + 2ab Calculations: Let the 2 numbers be x and y respectively. x + y = 47 Squaring both sides, we get (x + y)2 = (47)2 ⇒ x2 + y2 + 2xy = 2209 ⇒ x2 + y2 + 2 × 550 = 2209 ⇒ x2 + y2 = 2209 – 1100 ⇒ x2 + y2 = 1109 ∴ The sum of squares of 2 number is 1109. |
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