Question

If the difference of two numbers is 10 and their product is 12, what is the sum of their squares ?​

Answer 1

Answer:

plus

Step-by-step explanation:

Answer 2

Let the two numbers be x and y

• x - y = 10

• xy = 12

Sum of squares = x² + y²

• $\red{\implies}$(x - y )² = x² + y² + 2xy

• $\red{\implies}$10² = x² + y² + 2×12

• $\red{\implies}$100 = x² + y² + 24

• $\red{\implies}$ x² + y² = 76