How do you find the exact solutions to the system x^2/30+y^2/6=1 and x=y

Marisol Rivers 2022-07-22 Answered
How do you find the exact solutions to the system x 2 30 + y 2 6 = 1 and x=y?
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Answers (1)

Jaylene Tyler
Answered 2022-07-23 Author has 10 answers
y 2 30 + y 2 6 = 1
y 2 30 × 30 + y 2 6 × 30 = 1 × 30
y 2 + 5 y 2 = 30
6 y 2 = 30
y 2 = 30 6 = 5
y 2 5 = 0
( y + 5 ) ( y 5 ) = 0
Hence, either y + 5 = 0 i.e. y = 5
or y 5 = 0 i.e. y = 5
Hence, x = y = 5 or x = y = 5
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