Question

ROZWIĄŻ I SPRAWDŹ UKŁADY RÓWNAŃ :

a ) ( x+2)(x-2)+y=(x-2) -----> i to do kwadratu

3x + 2y=11

b) (x-2)---> do kwadratu -2(x-2y)+(3+x)(3-x)=1

2x + y=4

Answer 1

a ) ( x+2)(x-2)+y=(x-2)²

3x + 2y=11

 

x² - 2x + 2x + y= x²+ 4

3x + 2y= 11

 

y= 4

3x + 2y= 11

 

y=4

3x + 2*4= 11

 

y=4

3x+8=11

 

y=4

3x=3/3

 

y=4

x=1

 

 

b) (x-2)² -2(x-2y)+(3+x)(3-x)=1

2x + y=4

 

x²-4-2x+4y+9-3x+3y-x²=1

2x+y=4

 

-2x + 4y= 1-9+4

2x+y= 4

 

-2x+4y=-4

2x+4y=4

5y=0

y=0

 

-2x+4y=-4

2x+y=4/*(-4)

 

-2x+4y= -4

-8x-4y=-16

-10x= -20 / :(-10)

 

x=2

 

Answer 2

a ) ( x+2)(x-2)+y=(x-2) -----> i to do kwadratu 1

3x + 2y=11                                                      2

1.y= (x-2)^2 - (x+2)(x-2)
y= (x^2 - 4x + 4) -(x^2 - 4)

y=-4x + 8

2. 2y = 11-3x / *2

y= (11 - 3x) /2

1. (11-3x)/2 = -4x + 8 ? -2

11-3x= -8x + 16

0= -8x + 16 - 11 +3x

0= -5x + 5

5x=5

x= 1

y = (11-3)/x = 4

 

B.

(x-2)---> do kwadratu -2(x-2y)+(3+x)(3-x)=1 1.

2x + y=4                                                         2.

1.x^2 - 4x+ 4-2x+4y + 9 - x^2 - 1= 0

2. y=4-2x

1. -6x + 4y -12 = 0

-6x + 4 (4-2x) =0

-6x + 16 - 8x =0

-14x = -16

x = 1 i 2/14