Question

Решите систему уравнений: (5х+у) ^2=6у; (5х+у) ^2=6х

Answer 1

( 5x + y )^2 = 6y 
( 5x + y )^2 = 6x 
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6y = 6x 
y = x 
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( 5x + x )^2 = 6x 
36x^2 - 6x = 0 
6x( 6x - 1 ) = 0 
6x = 0 ==> x = 0 ; y = 0 
6x - 1 = 0 ==> x = 1/6 ; y = 1/6 
ОТВЕТ ( 0 ; 0 ) ; ( 1/6 ; 1/6 )