Solution
solve for
Solution
Solution steps
Switch sides
Rewrite using trig identities
Use the Hyperbolic identity:
Multiply both sides by
Simplify
Apply exponent rules
Apply exponent rule:
Rewrite the equation with
Solve
Refine
Multiply both sides by
Multiply both sides by
Simplify
Simplify
Apply exponent rule:
Add the numbers:
Simplify
Multiply fractions:
Cancel the common factor:
Solve
Move to the left side
Subtract from both sides
Simplify
Write in the standard form
Solve with the quadratic formula
Quadratic Equation Formula:
For
Simplify
Apply rule
Apply exponent rule: if is even
Apply exponent rule:
Multiply the numbers:
Factor
Rewrite as
Factor out common term
Apply radical rule: assuming
Factor the number:
Apply radical rule:
Separate the solutions
Apply rule
Multiply the numbers:
Factor out common term
Divide the numbers:
Apply rule
Multiply the numbers:
Factor out common term
Divide the numbers:
The solutions to the quadratic equation are:
Substitute back solve for
Solve
Apply exponent rules
If , then
Apply log rule:
Solve
Apply exponent rules
If , then
Apply log rule:
Popular Examples
Frequently Asked Questions (FAQ)
What is the general solution for solvefor y,x=sinh(y) ?
The general solution for solvefor y,x=sinh(y) is y=ln(x+sqrt(x^2+1)),y=ln(x-sqrt(x^2+1))