Решить систему уравнений y^2-10x^2=10x+25

4x-y=1

ето все скопках

4 х - y = 1

y = 4x - 1

y^2 = 16x^2 - 8x + 1

y^2 - 10x^2 = 10x + 25

16x^2 - 8x + 1 - 10x^2 = 10x + 25

6x^2 - 8x + 1 - 10x - 25 = 0

6x^2 - 18x - 24 = 0

6• (x^2 - 3x - 4) = 0

D = 9 + 16 = 25; V D = 5

x1 = (3 + 5) : 2 = 4

x2 = (3 - 5) : 2 = - 1

y = 4x - 1

y1 = 4•4 - 1 = 15

y2 = 4• ( - 1) - 1 = - 5

Ответ (4; 15); ( - 1; - 5)