Rozwiązane

Wyznacz x ze wzorów:

daje naj pls

a/ W = cx - b



b/ P = 3(x - a)



c/ M = (2x – a) : c



d/ R = c/( x - c)



e/ W = 2/abx



f/ S = 2/cx2



Odpowiedź :

[tex]a)\\W = cx-b\\\\cx = W+b \ \ /:c\\\\x = \frac{W+b}{c}[/tex]

[tex]b)\\P = 3(x-a) \ \ /:3\\\\x-a = \frac{P}{3}\\\\x = \frac{P}{3}+a[/tex]

[tex]c)\\M = (2x-a):c \ \ /\cdot c\\\\2x-a = Mc\\\\2x= Mc+a \ \ /:2\\\\x = \frac{Mc+a}{2}[/tex]

[tex]d)\\R = \frac{c}{x-c} \ \ /\cdot(x-c)\\\\R(x-c) = c\\\\Rx-Rc = c\\\\Rx = c+Rc \ \ /:R\\\\x = \frac{c}{R} + c[/tex]

[tex]e)\\W = \frac{2}{abx} \ \ /\cdot abx\\\\Wabx = 2 \ \ /:Wab\\\\x = \frac{2}{Wab}[/tex]

[tex]f)\\S = \frac{2}{cx^{2}} \ \ /\cdot cx^{2}\\\\Scx^{2} = 2 \ \ /:Sc\\\\x^{2} = \frac{2}{Sc}\\\\x = \sqrt{\frac{2}{Sc}}[/tex]