Question

Z każdego z poniższych wzorów wyznacz k;

e= k-1/k+1

f=k+1/k +a

g =2- 1/k

h=ka do kwadratu +k

i= a/2 + 2/k

Answer 1

E= k-1/k+1 /×k+1
e(k+1)=k-1
ek +e-k=-1
ek-k=-1-e
k(e-1)=-1-e
k=(-1-e)/e-1


f=k+1/k +a
fk+fa=k+1
fk-k=1-fa
k(f-1)=1-fa
k=(1-fa)/f-1


g =2- 1/k
kg=2k-1
kg-2k=-1
k(g-k)=-1
k=-1/(g-k)


h=ka² +k
h=k(a²+1)
k=h/(a²+1)

i= a/2 + 2/k
2ki=ka+4
2ki-ka=4
k(2i-a)=4
k=4/(2i-a)