Question

Wyznacz x z poniższych wzorow. a)t=x/a-5x
b)p=a+x+ax
c)m=(x+1)p-3x
d)w=1/x+p

Answer 1

a)
t = x/a - 5x
t = x(1/a - 5)
t = x [(1 - 5a)/a ) /[ (1-5a)/a ]
x = t/[ (1-5a)/a ]
x = at/(1 - 5a)

b)
p = a + x + ax
p = a + x(1 + a)
x(1 + a) = p - a  /:(1 + a)
x = (p - a)/(1 + a)

c)
m = (x + 1)p - 3x
m = xp + p - 3x
m = p + x(p - 3)
x(p - 3) = m - p /:(p - 3)
x = (m - p)/(p - 3)

d)
w = 1/x + p
xw = 1 + xp
xw - xp = 1
x(w - p) = 1 /:(w - p)
x = 1/(w - p)