Question

Решить систему уравнений y^2-10x^2=10x+25 4x-y=1 ето все скопках

Answer 1

4х - 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 )