Question

Zad.1 Rozwiąż równanie
c) (6+) (-+6) + ( - 4) = 4

d) ( -4x-3) (4x-3) +8(1- ) = 1

Answer 1

C) (6+1/3x)(6 -1/3x) +( 1/3x-4)²=4
36 - ¹/₉x²  + ¹/₉x² -⁸/₃x +16 =4
52 -⁸/₃ x =4 /·3
156 -8x =12 /-156
-8x = -144 /: (-8)
x= 18

d) (--4x -3)(4x-3) +8(1-√2x)²=1
-(4x+3)(4x-3) +8(1- 2√2x +2x²)=1
-(16x² -9) +8 -16√2x +16x² =1
-16x² +9 +8 -16√2x +16x² =1
17 -16√2x =1 /-17
-16√2x = -16 /:(-16)
√2x =1/:√2
x= 1/√2 ·√2/√2
x= √2/2