🧮 algebra

1. First, understand the function's formula. For example, if you have $f(x) = x^2 - 4x + 3$, this tells you how to calculate the output $y$ for each input $x$. 2. Identify key feat

**Problème 3 : Résoudre dans \(\mathbb{R}\) les équations et inéquations suivantes :** 1. \(\sqrt{x^2 - 2} = x\)

1. Find the domain and range of each relation using interval notation, and determine if it is a function. - Top-left graph (rational function with vertical asymptote at $x=1$ and h

1. Factorise each expression step-by-step. **a) $64a^2b^3 - 16b^2a^3$**

1. The problem is to simplify the expression $x^2 - 2\sqrt{x} - 4\sqrt{x}$.\n\n2. Notice that $-2\sqrt{x} - 4\sqrt{x}$ can be combined because they have like terms involving $\sqrt

1. Stating the problem: We need to graph the system of equations: $$x+2y=6$$

1. The problem is to graph the equations provided by the user. 2. However, no specific equations were given to graph.

1. The problem is to graph the given equations. 2. However, the user did not specify which equations to graph.

1. Problema: Resolver $A = \frac{\sqrt{100 + \sqrt{36}}}{\sqrt{196 - \sqrt{169}}}$ usando las propiedades de la radicación. 2. Paso 1: Simplificamos las raíces cuadradas internas.

1. The problem provides two equations: $X = -2y - 6$ and $X + 2y = -6$. We need to graph these equations. 2. First, rewrite both equations in terms of $X$ and $y$:

1. The problem is to determine the continuity of the function $f(x) = \ln(x^2)$.\n\n2. First, recall that the natural logarithm function $\ln(x)$ is defined only for $x > 0$.\n\n3.

1. The problem is to find the function $f(x) = \ln x^2$ and understand its properties. 2. Recall that $\ln x^2 = \ln \left(x^2\right)$.

1. Énoncé du problème : On doit déterminer la véracité des affirmations pour l'exercice 1 et choisir la bonne réponse pour chaque question de l'exercice 2 concernant des polynômes

1. **Stating the problem:** Solve the equation $$273x^8 - 17x^{12} = 256$$ for $x$. 2. **Rearrange the equation:** Move all terms to one side:

1. The problem is to understand and interpret the expression $273x^8$. 2. The expression $273x^8$ means that the variable $x$ is raised to the eighth power and then multiplied by 2

1. The problem states that the function $u(x_1, x_2) = 2 x_2$. 2. This means that the value of $u$ depends only on the variable $x_2$ and is twice its value.

1. The problem is to find and explain the x and y values for a function or equation. 2. The x-values typically represent the inputs or independent variable values.

1. The problem is to find the domain and range of the function $$F(x) = x^3 - 1$$. 2. The domain of a function is the set of all possible input values $x$ for which the function is

1. Calcule le discriminant du polynôme $3x^2 - x + 2$. Rappel: le discriminant est donné par $$\Delta = b^2 - 4ac$$ avec $a=3$, $b=-1$, $c=2$.

1. Stating the problem: Simplify the expression $14-18+16$. 2. First, perform the subtraction $14-18$, which equals $-4$.

1. Stated problem: Solve the equation $$\sqrt[4]{x-6} + \sqrt{x^2+36} = 0$$. 2. Analyze the terms: The fourth root $$\sqrt[4]{x-6}$$ is defined only if $$x-6 \geq 0$$, so $$x \geq