Question

Rozwiąż równianie:

a) (x-2)²-(x-4)²=8

b) (4-x)(4+x)+(x-√2)²=0

c) (x-√3)²-(x-√6)²=2√3-3

d) (x-5)²-(3-x)²=2⁶*4⁴/8³

e) (x+27)(27-x)=9⁵*81⁻¹

Answer 1

(x - 2)² - (x - 4)² = 8

x² - 4x + 4 - (x² -8x +16) = 8

x² - 4x + 4 - x² + 8x - 16 = 8

4x - 12 = 8

4x = 8 + 12

4x = 20

x = 5

 

x2-10x+25 - 9 +6x - x2=2^6*(2^2)^4/(2^3)^3

16-4x=2^6*2^8/2^9

16-4x=2^5

4-x=2^3

4-x=8

x=-4

 

 

mam tylko dwa ;(