Solution
Solution
+1
Degrees
Solution steps
Solve by substitution
Let:
Remove square roots
Subtract from both sides
Simplify
Square both sides:
Expand
Apply exponent rule: if is even
Apply radical rule:
Apply exponent rule:
Multiply fractions:
Cancel the common factor:
Expand
Apply exponent rule: if is even
Solve
Switch sides
Move to the left side
Subtract from both sides
Simplify
Solve with the quadratic formula
Quadratic Equation Formula:
For
Apply exponent rule: if is even
Apply rule
Apply rule
Subtract the numbers:
Apply rule
Separate the solutions
Apply rule
Add the numbers:
Multiply the numbers:
Apply rule
Apply rule
Subtract the numbers:
Multiply the numbers:
Apply rule
The solutions to the quadratic equation are:
Verify Solutions:TrueTrue
Check the solutions by plugging them into
Remove the ones that don't agree with the equation.
Plug in True
Apply rule
Subtract the numbers:
Plug in True
Apply rule
Subtract the numbers:
The solutions are
Substitute back
General solutions for
periodicity table with cycle:
Solve
General solutions for
periodicity table with cycle:
Combine all the solutions
Popular Examples
sin(x+1)=cos(x)3cos(x)-2=1sin(4x)=-sin(2x)solvefor t,x=1-2cos(2t)solve for solvefor x,sin(3x)=-(sqrt(3))/2solve for
Frequently Asked Questions (FAQ)
What is the general solution for cos(x)-sqrt(cos(x))=0 ?
The general solution for cos(x)-sqrt(cos(x))=0 is x=2pin,x= pi/2+2pin,x=(3pi)/2+2pin