Solution
Solution
+1
Degrees
Solution steps
Solve by substitution
Let:
Move to the left side
Subtract from both sides
Simplify
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply rule
Multiply the numbers:
Add the numbers:
Prime factorization of
divides by
divides by
are all prime numbers, therefore no further factorization is possible
Apply radical rule:
Apply radical rule:
Separate the solutions
Multiply the numbers:
Factor
Rewrite as
Factor out common term
Divide the numbers:
Multiply the numbers:
Factor
Rewrite as
Factor out common term
Divide the numbers:
Negate
The solutions to the quadratic equation are:
Substitute back
Apply trig inverse properties
General solutions for
Apply trig inverse properties
General solutions for
Combine all the solutions
Show solutions in decimal form
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for tan^2(θ)+4tan(θ)=3 ?
The general solution for tan^2(θ)+4tan(θ)=3 is θ=0.57338…+pin,θ=-1.35878…+pin