The equation of curve y=x^2-6x+8 and the line y=x-2

P. s.: I mean Intersection. Пересечение

Question

Алгебра

Эмилий

24 августа, 18:27

The equation of curve y=x^2-6x+8 and the line y=x-2

P. s.: I mean Intersection. Пересечение

+4

Ответы (1)

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Ульяха · Answer 1

y=x^2-6x+8

y=x-2

x^2-6x+8 = x-2

x^2-7x+10=0

D = (-7) ^2 - 4*1*10 = 49-40 = 9

x1 = (7 + 9^ (1/2)) / 2 = (7 + 3) / 2 = 5

x2 = (7 - 9^ (1/2)) / 2 = (7 - 3) / 2 = 2

y1 = 5 - 2 = 3

y2 = 2 - 2 = 0

intersect

(5; 3) (2; 0)

The equation of curve y=x^2-6x+8 and the line y=x-2P. s.: I mean Intersection. Пересечение

The equation of curve y=x^2-6x+8 and the line y=x-2

P. s.: I mean Intersection. Пересечение