Question

solve
2 tan ^2 x + 7 tan x -15 = 0

Answer 1

For
\[2\tan ^{2}x + 7tanx - 15 = 0\]
Solve \[2\tan ^{2}\] and \[7tanx\]
First. So we get:
0.00122x + 0.12278x + -15 = 0

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Simplifying
0.00122x + 0.12278x + -15 = 0

Reorder the terms:
-15 + 0.00122x + 0.12278x = 0

Combine like terms: 0.00122x + 0.12278x = 0.124x
-15 + 0.124x = 0

Solving
-15 + 0.124x = 0

To solve for variable 'x', move all terms containing x to the left, all other terms to the right.
0.124x = 15

Divide each side by '0.124'.

The exact value of 'x' is:
x = 120.9677419

Simplifying
x = 121