Question

Rozwiąż równanie:

a) (x-5)(x+5) = (x-3)²

b) (2a-1)² = (2a+1)(2a-1)

c) (3x+2)(3x-2)- 9(x+1)² = -22

d) 4x(2-x)+ 12= -(2x+6)(2x-6)

Uzupełnij:

a)36x² -25y² = (...)² - (...)² = (... - ...) (... + ...)

b)...-... = (...)² - (...)² = (3c-8d)(3c+8d)

c) ... -... = (2x)² - (3y)² = (...-...)(...+...)

d)(5a-4b)(5a+4b)= (...)²-(...)²= ...-...

Answer 1

a) 5,(6)

b)a=1/2

c)x=1/2

d)x=3

Answer 2

a) x²-25=x²-6x+9

6x=9+25/:6

x=34/6=5⅔

 

b)4a²-4a+1=4a²-1

-4a=-1-1

-4a=-2/:-4

a=½

 

c)9x²-4-9x²-2x-1=22

-2x=22+4+1

-2x=27/:-2

x=13½

 

d)8x-4x²+12=-4x²+36

8x=36-12

8x=24/:8

x=3

 

 

a)36x²-25y²=(6x)²-(5y)²=(6x-5y)(6x+5y)

b)9c²-64d²=(3c)²-(8d)²=(2x-3y)(2x+3y)

c)4x²-9y²=(2x)²-(3y)²=(2x-3y)(2x+3y)

d)(5a-4b)(5a+4b)=(5a)²-(4b)²=25a²-16b²