🧮 algebra

1. The problem is to solve the equation $x^2 - 5x + 6 = 0$. 2. We use the quadratic formula or factorization to solve quadratic equations. The quadratic formula is:

1. **Énoncé du problème :** Résoudre l'équation $\frac{1}{15x} - 11 = 7x + 5$ pour $x$. 2. **Formule et règles importantes :** Pour résoudre une équation, on cherche à isoler $x$ e

1. **Problem:** Find the equation of the tangent line to the circle $$x^2 + y^2 + 14x + 18y - 39 = 0$$ at the point in the second quadrant where $$x = -2$$. 2. **Rewrite the circle

1. **Énoncé du problème :** Résoudre l'équation $15x - 11 = 7x + 5$ pour $x$. 2. **Formule et règles :** Pour résoudre une équation linéaire, on regroupe les termes en $x$ d'un côt

1. **State the problem:** Simplify the expression $(5 + \sqrt{12})(11 + \sqrt{3})$ and write it in the form $a + b\sqrt{3}$, where $a$ and $b$ are integers. 2. **Recall the formula

1. **Problem statement:** Majid pays a total of 51520 for his car insurance, which includes a basic charge plus 15% sales tax. We need to find the amount of sales tax Majid pays. 2

1. **Problem statement:** We have three players: Archie, Evelyn, and Jacob. Initially, their counters are in the ratio 7 : 5 : 6. At the end, the ratio changes to 4 : 3 : 5. We kno

1. The problem asks: "How many did he start with?" which implies we need to find the initial quantity of something. 2. To solve such problems, we often use the formula for initial

1. **State the problem:** Simplify the expression $7 - \{6 - 12 \div (5 + 9 \times 2 - 19)\}$. 2. **Recall order of operations:** Use PEMDAS (Parentheses, Exponents, Multiplication

1. The problem involves comparing two ratios: $7:5:6$ and $4:3:5$, and a number $12$ is given, likely to be used in relation to these ratios. 2. To understand the relationship, we

1. The problem is to understand the number 25 and its properties. 2. 25 is a perfect square number because it can be expressed as $5^2$.

1. **Stating the problem:** We need to solve the equation for the first question asked (since no explicit question was given, we assume a generic algebraic problem). 2. **Formula a

1. Soal 27: Diketahui harga 3 buku tulis dan 2 pensil adalah 25000, serta harga 2 buku tulis dan 4 pensil adalah 20000. Misalkan $p$ adalah harga 1 buku tulis dan $q$ harga 1 pensi

1. Mari kita selesaikan sistem pertidaksamaan linear pertama: $$\left\{\begin{array}{l} x + 2y \leq 6 \\ 3x + y \geq 6 \\ x \geq 0 \\ y \geq 0 \end{array}\right.$$

1. Soal 27: Diberikan harga 3 buku tulis dan 2 pensil adalah 25000, dan harga 2 buku tulis dan 4 pensil adalah 20000. Misalkan $p$ adalah harga 1 buku tulis dan $q$ harga 1 pensil.

1. Let's start by understanding the problem you have. Since you mentioned your question is correct but want an easy explanation, I'll guide you through a typical approach to solvin

1. El problema es entender y aplicar los conceptos básicos de conjuntos de números, operaciones con números reales, productos notables, factorización y potenciación. 2. Primero, de

1. The first problem is to simplify the expression $$A = \sqrt{72} + \sqrt{50} - 2\sqrt{18}$$. 2. Recall the rule for simplifying square roots: $$\sqrt{a \times b} = \sqrt{a} \time

1. **Stating the problem:** We want to learn how to convert recurring decimals into fractions and vice versa. 2. **Converting recurring decimals to fractions:**

1. **Problem statement:** Simplify the expression $$A = \sqrt{72} + \sqrt{50} - 2 \sqrt{18}$$. 2. **Recall the rule:** The square root of a product can be written as the product of

1. The problem involves evaluating and simplifying given expressions and understanding the function $y = \frac{7}{5}$. 2. First, evaluate $q(15) = 30 - 9$. Simplify: $$q(15) = 21$$