🧮 algebra

1. The problem asks for the formula of $x$. 2. To find the formula for $x$, we need an equation or context relating $x$ to other variables or constants.

1. **Énoncé du problème :** Simplifier l'expression $$\frac{\sqrt[3]{2} \times \sqrt{6} \times \sqrt[5]{8}}{\sqrt[3]{4}}$$. 2. **Formules et règles importantes :**

1. Énoncé du problème : Simplifier le nombre $$\frac{\sqrt[3]{2} \times \sqrt{6} \times \sqrt[5]{\sqrt[3]{8}}}{\sqrt[3]{4}}$$. 2. Rappel des règles :

1. **State the problem:** Simplify and analyze the quadratic expression $-3x^2 + 12x$. 2. **Formula and rules:** This is a quadratic expression of the form $ax^2 + bx + c$ where $a

1. Énoncé du problème : Simplifier le nombre $$\frac{\sqrt[3]{2 \times 6} \times \sqrt[3]{8}}{\sqrt[3]{4}}$$. 2. Formule utilisée : Pour les racines cubiques, on utilise la proprié

1. **State the problem:** Latoya has a rectangular garden with length 12 feet and width 10 feet. Each bag of fertilizer covers 30 square feet. We need to find how many bags are req

1. **State the problem:** Simplify the expression $$\frac{x^2 + 8x + 7 - x}{x} - (3x - 2)$$ and analyze its components. 2. **Rewrite the numerator:** Combine like terms in the nume

1. **State the problem:** We need to find the length and width of a rectangle where the length is three times the width, and the perimeter is 48 cm. 2. **Recall the formula for the

1. The problem asks to explain exercise 75.2, but since the exact problem statement is not provided, I will demonstrate how to approach a typical algebraic exercise labeled similar

1. Stating the problem: Simplify the expressions $A = \sqrt{12} - 4\sqrt{27}$ and $B = 2\sqrt{50} + 4\sqrt{32}$.\n\n2. Formula and rules: Recall that $\sqrt{a \times b} = \sqrt{a}

1. **State the problem:** Determine which of the given graphs represents a function and justify the answer. 2. **Recall the definition of a function:** A function assigns exactly o

1. The problem is to solve the equation $$\sqrt{48x - 5} = 3\sqrt{27x - 2}.$$\n\n2. We start by squaring both sides to eliminate the square roots. The rule is: if $a = b$, then $a^

1. The problem is to simplify the expression $A=2^{\frac{3}{-4^{17}}}$. 2. First, recognize the exponent: $\frac{3}{-4^{17}}$. This means $3$ divided by $-4$ raised to the 17th pow

1. **Stating the problem:** We are given three equations: - $y^2=4ax$

1. **Stating the problem:** Solve the system of equations: $$xy = 2 \quad \text{(Equation ①)}$$

1. The problem gives three equations: $$y^2=4ax$$,

1. **Stating the problem:** Solve the system of equations for $x$ and $y$: $$\begin{cases} xy = 3 \\ x^2 + y^2 = 10 \end{cases}$$

1. The problem asks us to identify the fractions represented by points A and B on a number line between 0 and 1. 2. Since the number line is divided into equal parts between 0 and

1. **State the problem:** We have a photograph with width $x$ inches and length $x + 3$ inches. The area is given by $x(x + 3)$ square inches. 2. **Write the equation for the area:

1. **State the problem:** Simplify the expression $$\sqrt[3]{108c^{17}}$$. 2. **Recall the formula and rules:**

1. **State the problem:** Simplify the complex fraction $$\frac{10}{1+2i}$$ and write the answer in the form $a + bi$. 2. **Formula and rules:** To simplify a complex fraction, mul