Re-write formula, making w the subject?

Question

solve

(a) V=(P+w^2) / L

(b) If V=8, L=2, P=10 and G=0.35, find w.

please show working

Answer 1

Your would make your teacher much happier, were you able to handle simple rearrangement of terms in an equation. You can easily do it by pattern recognition; that 's all that mathematics is.

(a) Start from V=(P+w^2) / L

Then LV = P + w^2

So w^2 = LV - P, i.e. w = (LV - P)^(1/2)

(b) Gee! There IS no G in your formula! So it's either irrelevant or you made a transcription error.

In any case, substituting the given values, the G-less w = (2x8 - 10)^(1/2) = 6^(1/2), or sqrt(6).

If you WERE given a G in the original formula, trace its effect for yourself and evaluate the consequence appropriately.

Live long and prosper.

Answer 2

(a) V = (P+w^2) / L
V*L = P + w^2
V*L - P = w^2
(V*L - P)^0.5 = w -- "^0.5" means it's the square root of the equation
what's with the G ? there is no G in the equation

(b) (8*2 - 10)^0.5 = w
(16-10)^0.5 = w
6^0.5 = w

Answer 3

(a) multiply the equation by L ---> LV = P+w^2 --> w^2 = LV-P

w = (LV-P) ^0.5 or w = square root of(LV-P)

(b)I do not understand where theG comes from?

w^2= 2*8 -10 = 6 w=2.45

Answer 4

multiply L from both sides
VL=P+w^2
subtract P from both sides
VL-P=w^2
take a square root from both sides
w=sqr(VL-P)

w=sqr(8(2)-10)
w=sqr(6)

i dont know where G comes from