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7-70.
  1. Once again, Greta is in a pickle! She is trying to solve the following equation and knows she can use u-substitution to do it: Homework Help ✎

    3 tan2 x − tan x − 10 = 0

    1. Greta thinks if she lets u = tan x she can write the problem as a quadratic equation. Show Greta she is correct.

    2. Use your answer to part (a) to find the value(s) of x.

3u2u − 10 = 0
Solve for u.
Then solve for x.

x = tan−1(2) ≈ 1.107 + πn