Question

3 points
The sum and product of two
numbers are 12 and 35
respectively. The sum of their
squares will be?
O 12
O 49
O
25
O 74​

Answer 1

Required Answer:-

Given:

• The sum and product of two numbers are 12 and 35 respectively.

To find:

• The sum of the squares of the number.

Solution:

Let the numbers be x and y.

Therefore, according to the conditions,

➡ x + y = 12

➡ xy = 35

➡ (x + y)² = 12² (Squaring both sides)

➡ x² + y² + 2xy = 144

➡ x² + y² + 2 × 35 = 244

➡ x² + y² + 70 = 144

➡ x² + y² = 144 - 70

➡ x² + y² = 74

Hence, the sum of the squares of the number is 74.

Answer:

• The sum of the squares of the number is 74.

Answer 2

Answer:

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