🧮 algebra

1. The problem is to analyze and solve the first equation: $2x^3 + y^2 = 1 - 4y$. 2. Start by rewriting the equation to isolate terms and simplify:

1. The problem asks to find the LCM (ল.সা.গু.) and GCD (গ.সা.গু.) of the second and third polynomials: $3x^2 + 7x + 2$ and $6x^2 - x - 1$. 2. First, factorize each polynomial.

1. **প্রশ্ন:** ax^2 + (a^2 + 1)x + a রাশিকে উৎপাদক বিশ্লেষণ কর। 2. **ফর্মুলা:** একটি দ্বিঘাত রাশির উৎপাদক বিশ্লেষণের জন্য আমরা ব্যবহার করি মূল সূত্র $$ax^2 + bx + c = a(x - x_1)(x

1. **Énoncé du problème :** Soient $f(x) = x^2 - x$ et $g(x) = \sqrt{x} + 2$. Déterminer le domaine de définition de $g$, vérifier que $f(2) = g(2)$.

1. The problem is to graph the function $$h(x) = -3|x + 3| - 2$$. 2. This is an absolute value function transformed by a vertical stretch/compression, reflection, and translation.

1. ප්‍රශ්නය: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 යන සංඛ්‍යානුක්‍රමය පිළිබඳව පියවර වශයෙන් විස්තර කරන්න. 2. මෙම සංඛ්‍යානුක්‍රමය යනු සරල ගුණක අනුක්‍රමයක් (Arithmetic sequence) වේ.

1. **State the problem:** Solve the inequality $2x - 1 < 9$. 2. **Recall the rule:** To solve inequalities, we isolate the variable on one side. Adding or subtracting the same numb

1. **State the problem:** Solve the inequality $3x - 8 > 16$. 2. **Use the inequality solving rule:** To isolate $x$, add or subtract terms on both sides and divide or multiply by

1. The problem is to determine if the cryptarithm SEND + MORE = MONEY has only one solution. 2. Cryptarithms like SEND + MORE = MONEY are designed so that each letter represents a

1. The problem is to solve the cryptarithm SEND + MORE = MONEY, where each letter represents a unique digit. 2. The goal is to find digits for S, E, N, D, M, O, R, Y such that the

1. **Énoncé du problème :** Montrer que la fonction $f$ définie sur $]-\infty, -2[$ par $$f(x) = \frac{x^2}{1+x}$$ est injective. 2. **Formule et rappel :** Une fonction est inject

1. The problem is to find the first 10 questions, but since no specific questions are provided, I will assume you want the first 10 questions of a common math topic such as algebra

1. The problem is to solve the equations or expressions given in Class 9 NCERT Book Chapter 6 Exercise 6.1, which typically involves algebraic expressions and linear equations. 2.

1. Masalah: Hitung determinan matriks $T$ dan $D$ menggunakan metode kofaktor dengan memilih baris atau kolom yang mudah. 2. Rumus determinan dengan kofaktor: $$\det(A) = \sum_{j=1

1. Masalah: Buktikan bahwa jika sistem persamaan linear $Ax=b$ memiliki lebih dari satu solusi, maka sistem tersebut memiliki tak hingga banyak solusi. 2. Misalkan $x_1$ dan $x_2$

1. **State the problem:** Ignacio's legs start at 49.3 cm from the floor, and the desk bottom is at 74.5 cm. Each clockwise rotation raises his legs by 4.8 cm. We want to find the

1. **State the problem:** Determine whether the function $f(x) = x^2$ is one-to-one (injective) when the domain and codomain are both the set of integers. 2. **Recall the definitio

1. **Problem Statement:** Determine whether the function $f(x) = b x^2$ is one-to-one (injective) when the domain and codomain are both the set of integers. 2. **Definition of One-

1. Masalah yang dibahas adalah mengapa pembuktian Teori 1.6.1 hanya menunjukkan kasus ketika sistem linear memiliki banyak solusi (infinitely many solutions). 2. Teori 1.6.1 menyat

1. Diketahui polinomial $p(x) = ax^5 + bx - 1$ dengan $a$ dan $b$ konstan. 2. Jika $p(x)$ dibagi oleh $(x - 2.006)$, sisanya adalah 3, maka menurut Teorema Sisa:

1. **State the problem:** Simplify the expression $$\left\{\left[\left(\frac{2}{3}\right)^{-4}\right]^{\frac{2}{3}} \cdot 1.5 \cdot \left(\frac{3}{2}\right)^{\frac{1}{9}} \cdot 121