🧮 algebra

1. The problem states: Given the equation $x^2 + y^2 = 2xy$, find the value of $y$. 2. Start by rearranging the equation:

1. The problem is to find the value of $|x|$ when $x=0$. 2. Recall that the absolute value function $|x|$ gives the distance of $x$ from zero on the number line, which is always no

1. The problem asks to find the set of real numbers $x$ such that $|x| = -2$. 2. Recall that the absolute value function $|x|$ represents the distance of $x$ from zero on the real

1. The problem is incomplete as it does not specify the conditions or equations for which we need to find the set of real numbers. 2. Please provide the full problem statement or t

1. The problem states that the input goes through two operations: first multiplied by 6, then divided by 2, resulting in an output of 12. 2. Let the input be $x$. The function mach

1. The problem gives two equations: $6 \times A = 24$ and $6 + B = 24$. 2. Solve the first equation for $A$:

1. The problem is to express the number 300 as a product of its prime factors. 2. Start by dividing 300 by the smallest prime number 2: $$300 \div 2 = 150$$.

1. The problem is to find two numbers that multiply together to give 243. 2. We start by factoring 243 into its prime factors. Since 243 is a power of 3, we can write:

1. The problem is to find the value of $\sqrt{243}$.\n\n2. First, factorize 243 into its prime factors.\n$$243 = 3 \times 81 = 3 \times 3 \times 27 = 3 \times 3 \times 3 \times 9 =

1. The problem is to simplify the expression $\sqrt{224}$.\n\n2. Start by factoring 224 into its prime factors or into a product that includes a perfect square.\n\n3. Factor 224: $

1. The problem is to find the square root of 224. 2. We start by expressing 224 as a product of its prime factors.

1. نبدأ بكتابة المعادلة المعطاة: $$1 - 9x^2 = 0$$

1. نبدأ بكتابة المعادلة المعطاة: $$5x^2 = -20$$

1. Stating the problem: Solve the quadratic equation $5x^2 = -20$ for $x$. 2. Divide both sides of the equation by 5 to isolate $x^2$:

1. نبدأ بكتابة المعادلة المعطاة: $$7x^2 = 343$$

1. نبدأ بكتابة المعادلة على شكل $x^2 = 0$ أو أي معادلة تربيعية أخرى إذا كانت موجودة. 2. إذا كانت المعادلة على شكل $x^2 = a$ حيث $a$ عدد حقيقي، نأخذ الجذر التربيعي للطرفين:

1. **State the problem:** Simplify the expression $$\frac{x^2 + 5x - 6}{x^2 - 1} \times \frac{x^2 + x}{x + 6} \quad \text{and} \quad \frac{x^2 + 6x + 8}{x^2 - 4} \div \frac{x + 4}{

1. **State the problem:** We need to find the number of new mobile phone subscribers by 2025 for all regions excluding APAC and MENA, assuming current growth rates continue. 2. **I

1. السؤال 1: إذا كانت $3 + x = f(t)$، نريد إيجاد الدالة العكسية $f^{-1}(x)$. 2. نبدأ بتبديل $f(t)$ بـ $y$ و $t$ بـ $x$ للحصول على المعادلة:

1. **State the problem:** We want to find how many more unique users there were in APAC in 2020 compared to North America, given the number of connections per person in each region

1. Problema ne cere să găsim valoarea lui $x$ pentru care suma seriei $$\frac{1}{4} + \frac{1}{28} + \frac{1}{70} + \dots + \frac{1}{x^2 + 3x} = \frac{2027}{6084}.$$\n\n2. Observăm