Dividing both sides of an equation by anything except zero, gives you an equivalent equation.Atomised said:Homework Statement
I am asked to solve the following equation, giving answer in terms of k
Homework Equations
$$x^5 + k^2x = 0$$
The Attempt at a Solution
The answer is apparently 0. What is 0. Not even sure what that means.
I would have thought: divide through by x to obtain
$$k^2 = -x^4$$ →
$$ k=x^2i $$ ?
The "answer" is not zero. Your answer should be in the form of equations that start with "x = ..."Atomised said:Homework Statement
I am asked to solve the following equation, giving answer in terms of k
Homework Equations
$$x^5 + k^2x = 0$$
The Attempt at a Solution
The answer is apparently 0. What is 0. Not even sure what that means.
Atomised said:Homework Statement
I am asked to solve the following equation, giving answer in terms of k
Homework Equations
$$x^5 + k^2x = 0$$
The Attempt at a Solution
The answer is apparently 0. What is 0. Not even sure what that means.
I would have thought: divide through by x to obtain
$$k^2 = -x^4$$ →
$$ k=x^2i $$ ?
The general approach to solving equations is to isolate the variable on one side of the equation and solve for its value. This is typically done by using mathematical operations, such as addition, subtraction, multiplication, and division, to both sides of the equation until the variable is isolated.
To solve equations with exponents, you can use the properties of exponents, such as the power rule and the product rule. You can also simplify the equation by factoring out common factors and then solving for the variable.
An equation is a mathematical statement that shows the equality of two expressions, while an expression is a combination of numbers, variables, and mathematical operations. In other words, an equation has an equal sign, and an expression does not.
The degree of an equation is the highest exponent of the variable in the equation. In the equation x^5 + k^2x = 0, the degree is 5.
To solve equations with multiple variables, you can use the same general approach as solving equations with one variable. However, you will need to use additional information or equations to solve for each variable separately. You can also use substitution or elimination methods to solve for the variables.