🧮 algebra

1. مسئله: باید مقدارهایی از $m$ را پیدا کنیم که معادله $$2 = m^2 + 3x + m x^2$$ ریشه‌های حقیقی داشته باشد که معکوس یکدیگر باشند. 2. ابتدا معادله را به شکل استاندارد معادله درجه دو

1. مسئله این است که سرعت پرنده در هوای آرام را پیدا کنیم که یک مسیر 1 کیلومتری را با باد موافق و مخالف پرواز کرده و مدت زمان کل رفت و برگشت 9 دقیقه است. 2. فرض کنیم سرعت پرنده در ه

1. مسئله را بیان می‌کنیم: \n می‌خواهیم مجموع ریشه‌های حقیقی معادله $$72 + (x^2 + x)^2 - 18(x^2 + x) = 0$$ را بیابیم و گزینه درست را انتخاب کنیم.\n

1. Find gcd(252, 198) using the Euclidean Algorithm: - Compute $252 \div 198 = 1$ remainder $54$.

1. **Problem:** Find the prime factorization of 48 and 60 using exponents, then find the greatest common factor (GCF). 2. Prime factorization of 48:

1. **Find the GCF of 24 and 36 using Listing Factors Method** - List factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

1. **Stating the Problem:** Find the GCF of 24 and 36 using the listing factors method. 2. **Prime Factorization:**

1. समस्या: \n\nश्री A ने एक वस्तु 384 रुपये में खरीदी और उसे 576 रुपये में बेचा।\nश्री B ने दूसरी वस्तु 1,254 रुपये में खरीदी और उसे 1,672 रुपये में बेचा।\n\nA के प्रतिशत लाभ और B

1. The problem involves analyzing the quadratic function related to the given video link. 2. State the quadratic function: Suppose the function is $y = ax^2 + bx + c$.

1. Find the H.C.F of $(z - 1)(z^2 + 1)$ and $4(z^2 - 1)$. Factor expressions:

1. **State the problem:** Find the mean (average) of all factors of 24. 2. **List all factors of 24:** Factors are numbers that divide 24 without remainder. They are 1, 2, 3, 4, 6,

1. We are given the equation $$\frac{0.25 + 0.125}{0.05} = A.5$$ where $A$ is a digit. 2. First, simplify the numerator: $$0.25 + 0.125 = 0.375$$.

1. **Stating the problem:** We are given a system of three linear equations with three variables $x$, $y$, and $z$: $$\begin{cases} x - 2y - z = -5 \\ 3y + 5z = 14 \\ y + 5z = 8 \e

1. Factorize the odd-numbered problems: 1. Factorize $4x^2 - 2x^3 - 6x$:

1. সমস্যাটি বুঝিঃ কৃষকের কাছে ২৫০ শতাংশ জমি রয়েছে। এর মধ্যে - ধানের জমি = $\frac{3}{8}$ অংশ

1. Problem 1: Solve for $x$ in the equation $$3(5x - 29) - 9 = -6$$ Step 1: Distribute 3 into terms inside parentheses:

1. The problem asks to find the value of $$(-12) \div (-3) + (-6) \times (-2)$$. 2. First, compute the division: $$(-12) \div (-3) = 4$$ because dividing two negative numbers resul

1. **State the problem:** Mayerlin has $x$ dimes and $y$ nickels. She has no more than 20 coins combined:

1. Let's define variables for the number of guests helped by each server: Let $x$ be the number of guests the second server helped.

1. The user wrote "With solution" but did not specify a math problem, so I will provide a short example problem with a solution. 2. Problem: Solve the quadratic equation $x^2 - 5x

1. **Stating the problem:** We need to find the equation of a straight line passing through the origin $(0,0)$ and approximately passing near $(-6,-2)$ and $(6,4)$. 2. **Identify t