Question

Rozwiąż i sprawdź rozwiązanie równania.

Answer 1

¼(8x-2)²-4(2x-2) = 13 + 4x(5+4x)

¼(64x²-32x+4)-8x+8=13+20x+16x²

16x²-8x+1-8x+8-13-20x-16x²=0

-36x-4=0

-36x=4

 

x= - ⁴/₃₆

 

x= - ¹/₉

Answer 2

1/4(8x-2)²-4(2x-2)=13+4x(5+4x)=

1/4(64x²-32x+4)-8x+8=13+20x+16x²

16x²-8x+1-8x+8=16x²+20x+13

16x²-16x²-16x-20x=13-9

-36x= 4/:(-36)

x=-1/9

 

spr.:

1/4(8x-2)²-4(2x-2)=13+4x(5+4x)

1/4(8*(-1/9)-2)²-4(2*(-1/9)-2)=13+4*(-1/9)(5+4*(-1/9)

1/4(-8/9-2)²-4(-2/9-2)=13-4/9(5-4/9)

1/4(-2 8/9)²-4(-2 2/9)=13-4/9(4 5/9)

1/4(-26/9)²+80/9=13- 164/81

1/4* 676/81+80/9=13-2 2/81

169/81+8 8/9=10 79/81

2 7/81+8 72/81=10 79/81

10 79/81=10 79/81

L=P