Z kazdego z ponizszych wzorów wyznacz k a) e = k-1/k+1 b) h = ka do potęgi 2 + k c) i = a/2 + 2/k

a) e = k-1/k+1 |*(k+1) e(k+1) = k-1 ek+e+1 = k ek-k = -e-1 k(e-1) = -e-1 k(e-1) = -(e+1) k = -(e+1)/e-1) b) h = ka²+k h-ka² = k -ka²-k = -h |*(-1) ka²+k = h k(a²+1) = h k = h/a²+1) c) i = a/2+2/k |*2k 2ki = ak+4 2ki-ak = 4 k(2i-a) = 4 k = 4/(2i-a)

a) e = k-1/k+1 e(k + 1) = k - 1 ek + e = k - 1 ek - k = - (e + 1) k(e - 1) = -(e + 1) k = -(e + 1)/(e - 1) b) h = ka do potęgi 2 + k h = ka² + k h = k(a² + 1) k = h/(a² + 1) c) i = a/2 + 2/k 2ki = ak + 4 2ki - ak = 4 k(2i - a) = 4 k = 4/(2i - a)