Question

if the sum of the two numbers is 7 and the sum of their cubes is 133 then find the sum of their squares​

Answer 1

Answer~

1. Let one number be x

Let other number be y

2. x+y = 7

x³+y³ = 133

3.

(x+y)³ = x³+ y³+ 3xy(x+y)

7³ =133+3xy(7)

343 = 133+21xy

343-133 = 21xy

210. = 21xy

210÷21 = xy

10 = xy

4.(x+y)² = x²+y²+ 2xy

7². = x²+y²+ 2(10)

49. = x²+y²+20

49-20. = x²+y²

29. = x²+y²

Therefore,the answer is 29.

Answer 2

Answer:

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