Example Question - simplify equations
Here are examples of questions we've helped users solve.
Solving Linear Equations Step by Step
Vamos a resolver la ecuación paso a paso. Primero, necesitamos recolectar todos los términos que contienen \(x\) en un lado de la ecuación y los términos constantes en el otro lado. Entonces, al sumar \(2x\) a ambos lados de la ecuación y sumar \(10\) a ambos lados, obtenemos: \(3x + 2 - 2x + 10 = 0 + 2x + 10\) Al simplificar los términos semejantes, nos queda: \(3x - 2x + 2 + 10 = 2x - 2x + 10\) \(x + 12 = 10\) Ahora, restamos \(12\) a ambos lados para dejar \(x\) solo en un lado de la ecuación: \(x + 12 - 12 = 10 - 12\) Al realizar la resta, obtenemos: \(x = -2\) Por lo tanto, la solución de la ecuación es \(x = -2\).
Solving an Equation with Square Roots
The equation provided in the image is: √(x+2) + √(x−2) = 5/2 To solve this equation for x, follow these steps: 1. Isolate one of the square roots on one side of the equation. Let's move √(x−2) to the right side: √(x+2) = 5/2 − √(x−2) 2. Now, square both sides to eliminate the square root: (√(x+2))^2 = (5/2 − √(x−2))^2 x + 2 = (5/2)^2 − 2*(5/2)*√(x−2) + (√(x−2))^2 x + 2 = 25/4 − 5√(x−2) + x − 2 3. Simplify and isolate the term involving the square root: 25/4 − 4 = 5√(x−2) 25 − 16 = 20√(x−2) 9 = 20√(x−2) 4. Divide both sides by 20 to isolate the square root: 9/20 = √(x−2) 5. Now, square both sides again to eliminate the square root: (9/20)^2 = (x−2) 81/400 = x−2 6. Add 2 to both sides to solve for x: x = 81/400 + 2 x = 81/400 + 800/400 x = 881/400 Therefore, the solution to the original equation is x = 881/400.
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