Solve each of the following equations and simplify your result completely

Question

a.) 𝑥−5/3 = 𝑥+2/5

b.) √(8−2𝑥) = 𝑥+8

I need help with solving, please!

Answer 1

a) No solution because we get contradiction: 2/5 = - 5/3, which is false

b) By squaring we get: 8 - 2x = x² + 16x + 64. x² + 18x + 56 = 0; (x + 4)(x + 14) = 0

x = - 4 or x = - 14.

X = -14 is extraneous solution and we reject it.

X = -4 only solution of this radical equation