Question

1/x+1/7=1/x+7 then x49-343x46+x3+17=?

Answer 1

Step-by-step explanation:

x + 7)(x - 1) = (x + 1)^2

Use the binomial theorem.

x^2 + 6x - 7 = x^2 + 2x + 1

Subtract x^2 from both sides.

6x - 7 = 2x + 1

Subtract 2x from both sodes.

4x - 7 = 1

Add 7 to both sides.

4x = 8

Divide both sides by 4.

x = 2