Question

If x+y=9 and xy=20,find the value of x square + y square

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

x+y = 9

xy = 20

x = 20/y

20/y + y = 9

20+y²/y =9

20 + y² = 9y

y² - 9y + 20 = 0

y² - 5y - 4y + 20 = 0

y(y - 5) - 4(y - 5) = -

y = 5          y = 4

When y = 5,                        When y = 4

          x = 4                                    x =5

x² + y² = 25 + 16                     x² + y² = 25 + 16

           = 41                                          = 41

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