gimak said:Homework Statement
y=[(1+y^2)^1.5]/[2(y+sqrt 3)^2]; solve for y
Homework Equations
see above
The Attempt at a Solution
I tried to use algebra to solve it, but I can't. The textbook says it can be solved numerically or by iteration. By numberically I think it means algebraically. But I don't know how to do it that way. I don't know what it means by iteration. Can you guys give me an idea of how to do it both ways?
The first step is to identify the type of equation you are dealing with. Is it linear, quadratic, exponential, etc.? This will determine the method you will use to solve it. Then, make sure you have all the necessary information and variables. Finally, follow the appropriate steps for solving the specific type of equation.
Yes, for example, to solve a linear equation such as 3x + 4 = 10, you would first isolate the variable by subtracting 4 from both sides to get 3x = 6. Then, divide both sides by 3 to get x = 2. For a quadratic equation, such as x^2 + 3x - 4 = 0, you would use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a. Plug in the values for a, b, and c to solve for x.
If you get stuck, take a step back and review the steps you have already taken. Double check your work and make sure you have not made any simple mistakes. If you are still stuck, try looking for similar examples or asking for help from a teacher or tutor.
Yes, there are some common techniques that can help you solve equations more efficiently. For example, when solving linear equations, it can be helpful to use the distributive property to simplify expressions. For quadratic equations, you can use factoring or completing the square to make solving easier.
Yes, some equations may have multiple solutions or no solutions at all. For example, a quadratic equation can have two solutions, one solution, or no real solutions depending on the value of the discriminant (b^2 - 4ac). It is important to check your solutions and make sure they satisfy the original equation.