Решите систему уравнений:
[tex] \left \{ {{2x+y=7} \atop { 4x^{2}-y^{2}=7 }} \right. [/tex]
[tex] \left \{ {{2x+y=7} \atop { 4x^{2}-y^{2}=7 }} \right. [/tex]
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Verified answer
2х + у = 74х^2 - у^2 = 7
2х + у = 7
(2х - у)(2х + у) = 7
2х + у = 7
(2х - у)*7 = 7
2х + у = 7
+
2х - у = 1
____
4х = 8
х = 2
х = 2
2*2 - у = 1
х = 2
4 - у = 1
х = 2
у = 3
ОТВЕТ: (2;3)