z każdego z poniższych wzorów wyznacz k.; a) a = xk + yk b) b = 2k - ak c) c = (k + 1)b +2k d) d = k/k-1 e) e = k-1/k+1 f) f = k+1/k + a g) g = 2-1/k h) h = ka² + k i) i = a/2 + 2/k pomożecie.? ;))

a) a = xk + yk [latex]a= xk+yk a= k(x+y)[/latex] [latex]k= frac{a}{x+y} [/latex] Zał. x≠-y b) b = 2k - ak [latex]b=k(2-a)[/latex] [latex]k= frac{b}{2-a} [/latex] Zał. a≠2 c) c = (k + 1)b +2k [latex]c= kb + b +2k c-b = kb + 2k c-b = k(b+2) [/latex] [latex]k= frac{c-b}{b+2} [/latex] Zał: b≠-2 d) d = k/k-1 [latex]d(k-1)=k dk-d=k dk-k=d k(d-1)=d[/latex] [latex]k= frac{d}{d-1} [/latex] Zał. d≠1 e) e = k-1/k+1 [latex]e(k+1)=k-1 ek+e = k-1 ek-k=-1-e k(e-1)=-1-e k(1-e)=1+e [/latex] [latex]k= frac{1+e}{1-e} [/latex] Zał. e≠1 f) f = k+1/k + a [latex]f(k+a)=k+1 fk+fa=k+1 fk-k=1-fa k(f-1)=1-fa[/latex] [latex]k= frac{1-af}{f-1} [/latex] Zał. f≠1 g) g = 2-1/k [latex]g=2- frac{1}{k} gk=2k-1 gk-2k=-1 2k-gk=1 k(2-g)=1[/latex] [latex]k= frac{1}{2-g} [/latex] Zał. g≠2 h) h = ka² + k [latex]h=k(a^2+1) [/latex] [latex]k= frac{h}{a^2+1} [/latex] i) i = a/2 + 2/k [latex]i= frac{a}{2} + frac{2}{k} 2ik=ak+4 2ik-ak=4 k(2i-a)=4 [/latex] [latex]k= frac{4}{2i-a} [/latex] Zał. a≠2i