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samantha9430
05.02.2020 •
Mathematics
Tan^2x +5tanx +3=0
approximate to four decimal places the solutions for x,
0 less than or equal to x< 2pi
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Ответ:
The given equation is
Where
, this interval means that we need to find the solution of the equation in every quadrant, remember that trigonometric equations are periodical, that means its solution repeats in other quadrants.
First, we need to make a variable change where
and
, so the equation is
Now, we can solve the equation as a quadratic equation.
We know this equation has two solutions
To find these solutions, we use the quadratic formula
Where![a=1, b=5, c=3](/tpl/images/0504/0854/1507b.png)
Replacing these values, we have
So,
But,
, so
Ответ:
Step-by-step explanation: