Question

Wyznacz x:

y=2/x-1

P=⅓(a²+2ax)

wyznacz k:

c=(k+1)b+2k

d=k/k-1

e=k-1/k+1

f=k+1/k+a

g=2-1/k

h=ka²+k

i=a/2+2/k


/-ukośnikiem oznaczałam ułamki:D
Pilne!!!
Dam naj:D

Answer 1

Wyznacz x:

y=2/x-1 /*(x-1)
y(x-1)=2
xy-y=2
xy=2+y
x=(2+y)/y

P=⅓(a²+2ax)
P=1/3a2+2/3ax /*3
3P=a2+2ax
2ax=3P-ax2
x=(3P-ax2)/2a

wyznacz k:

c=(k+1)b+2k
c=kb+b+2k
kb+b+2k=c
kb+2k=c-b
k(b+2)=c-b
k=(c-b)/(b+2)

d=k/k-1 /*(k-1)
d(k-1)=k
dk-d=k
dk-k=d
k(d-1)=d
k=d/(d-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 /*(k+a)
f(k+a)=k+1
fk+fa=k+1
fk-k=1-fa
K(f-1)=1-fa
k=(1-fa)/(f-1)

g=2-1/k /*k
gk=2k-1
gk-2k=-1
k(g-2)=-1
k=-1/(g-2)

h=ka²+k
ka2+k=h
k(a2+1)=h
k=h/(a2+1)

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