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ter27
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if $x^2 = x+3$ then $x^3 = ??$ Not sure about this would appreciate some help
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Rido12 said:Assuming that your question is the following:
If $x^2=x+3$, then find $x^3$
Here, we need to find what $x$ is, and to do so, we can apply the quadratic formula on $x^2-x-3=0$
A quadratic equation is a type of polynomial equation in one variable (usually represented as x) where the highest power of the variable is 2. It is written in the form ax^2 + bx + c = 0, where a, b, and c are constants.
To find the cube of x in a quadratic equation, you first need to rewrite the equation in the form (x + a)^3 = b, where a and b are constants. Then, you can use the binomial theorem to expand (x + a)^3 and simplify the equation to find the cube of x.
Finding the cube of x can help us solve the quadratic equation and find the roots (or solutions) of the equation. It can also help us identify important characteristics of the graph of the quadratic equation, such as the vertex and the direction of the parabola.
Yes, the cube of x can be negative in a quadratic equation. This means that the quadratic equation has two complex (non-real) roots. However, if the equation has real roots, the cube of x will always be positive.
Yes, there are some shortcuts and formulas that can help you find the cube of x in a quadratic equation. For example, if the quadratic equation is in the form ax^2 + bx + c = 0, the cube of x can be found using the formula x = (-b ± √(b^2 - 4ac)) / 2a. It is important to note that this formula only works for equations with real roots.