Answer:
Step-by-step explanation:
(13-2w)^2 = 169 - 52w + 4w^2
(w+6)^2 = w^2 + 12w + 36
Setting them equal:
169 - 52w + 4w^2 = w^2 + 12w + 36
3w^2 - 64w + 133 = 0
Using the quadratic formula, we get
x = (64 +/- sqrt(64^2 - 4*3*133))/6
64^2-12*133 = 2500. sqrt(2500) = 50.
x = (64 +/- 50)/6.
x = 19 or 14/6 = 7/3.
Solving the original equation:
7 = 3w.
w = 7/3.
Therefore 19 is extraneous.
