Question

If 3+ √5 / 2√5+3 = x + y√5, find the values of x and y. no spam​

Answer 1

Answer:

x[

2

3

]+y[

−1

1

]=[

10

5

]

⇒[

2x

3x

]+[

−y

y

]=[

10

5

]

⇒[

2x−y

3x+y

]=[

10

5

]

Comparing the corresponding elements of these two matrices,

we get 2x−y=10 and 3x+y=5

Solving these we get,

x=3 and y=−4