Question

If ex + e⁻¹= 2, then x =..

Answer 1

`\rm x = \frac{2e - 1}{ {e}^(2) }`

Explanation:

`\rm Solve \: for \: x: \\ \rm \longrightarrow ex + {e}^( - 1) = 2 \\ \\ \rm \longrightarrow e x + (1)/(e) = 2 \\ \\ \rm Subtract \: (1)/(e) \: from \: both \: sides: \\ \rm \longrightarrow e x + (1)/(e) - (1)/(e) = 2 - (1)/(e) \\ \\ \rm \longrightarrow ex = (2e)/(e) - (1)/(e) \\ \\ \rm \longrightarrow ex = (2e - 1)/(e) \\ \\ \rm Divide \: both \: sides \: by \: e: \\ \rm \longrightarrow (ex)/(e) = (2e - 1)/(e * e) \\ \\ \rm \longrightarrow x = \frac{2e - 1}{ {e}^(2) }`