DAJE NAJJ rozwiąż równania. wyznacz dziedziny równania a) (2x+4) razy (4x-1)=0 b) (2x-1) razy x(kwadrat)=0 c) 1+x/x+5=0 d) 5x-5/ x-1=0 e) (2x-6)(2-x)/x-2=0

[latex]a)\(2x+4)(4x-1) = 0\\2(x+2)(4x-1) = 0 /:2\\(x+2)(4x-1) = 0\\x+2 = 0 vee 4x-1 = 0\\x = -2 vee x = frac{1}{4}\\D = R[/latex] [latex]b)\(2x-1)x^{2} = 0\\2x-1 = 0 vee x ^{2} = 0\\x = frac{1}{2} vee x = 0\\D = R[/latex] [latex]c)\\frac{1+x}{x+5}=0 |*(x+5)\\x+5 eq 0\x eq -5\D = R-lbrace-5 brace\\1+x = 0\\x = -1[/latex] [latex]d)\\frac{5x-5}{x-1}=0 |*(x-1)\\x-1 eq 0\x eq 0\D = R-lbrace0 brace\\5x-5 = 0 /:5\\x-1 = 0\\x = 1[/latex] [latex]e)\\frac{(2x-6)(2-x)}{x-2}=0 |*(x-2)\\x-2 eq 0\x eq 2\D = R-lbrace2 brace\\(2x-6)(2-x) = 0\\2(x-3)(2-x) = 0 /:2\\(x-3)(2-x) = 0[/latex] [latex]x-3 = 0 vee 2-x =0\\x = 3 vee x = 2[/latex]