- #1
justin345
- 15
- 0
Homework Statement
I have been solving a problem, which turned into this equation. Obviously it is not a quadratic equation. I am a little bit confused how to solve this one?
The equation to solve is y^4+4y-69=0
The steps to solve for y are:
1. Rewrite the equation as y^4+4y-69=0
2. Factor out the common factor of y: y(y^3+4)-69=0
3. Set each factor equal to 0: y=0 and y^3+4=69
4. Solve for y in the second factor: y^3=65
5. Take the cube root of both sides: y=∛65
Yes, this equation can have up to four solutions for y.
To check if a solution for y is correct, you can plug the value of y back into the original equation and see if it satisfies the equation.
Yes, this equation can also be solved using graphing or numerical methods, such as using a calculator or computer program to find the values of y that satisfy the equation.