- #1
JKCB
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Homework Statement
Homework Equations
The Attempt at a Solution
4x^2-2xy=2-3y^2
x(4x-2y)=2-3y^2 then I'm stuck[/B]
Please include a complete statement of your problem in the text of the post itself, no matter what you state in the title.JKCB said:Homework Statement
Homework Equations
The Attempt at a Solution
4x^2-2xy=2-3y^2
x(4x-2y)=2-3y^2 then I'm stuck[/B]
JKCB said:What do I do with the 2 at the end of the original equation?
To solve for y in terms of x, we need to rearrange the given equation so that y is on one side and all other terms are on the other side. This can be done by using algebraic operations such as factoring, completing the square, or using the quadratic formula.
The steps to solve this equation for y are as follows:
1. Move all terms containing y to one side of the equation.
2. Factor out y from the remaining terms.
3. Divide both sides by the remaining coefficient of y.
4. Simplify if necessary to get y on one side and all other terms on the other side.
Yes, this equation can be solved for y without using the quadratic formula. It can be solved by factoring or completing the square. However, the quadratic formula is another method that can always be used to solve any quadratic equation.
Yes, there are generally two solutions for y in a quadratic equation. However, in some cases, there may be only one solution or no real solutions at all.
No, it is not always necessary to solve for y in this equation. Depending on the purpose, the equation may be used as it is or manipulated further to achieve a desired result without solving for y.