Fill in the missing words or phrases.
1. ¿En qué año
el presidente Kennedy? (morir)
2. Después de la cena yo
café. (servir)
3. ¿Por qué
una ensalada? No te gustan las verduras. (pe
4. Mi hermano y yo
en cinco minutos y salimos. (vestirse)
5. Anoche mis amigos
comida guatemalteca. (servir)
6. Tú no
las instrucciones. (seguir)
7. El domingo pasado
quedarnos eņ casa. No salimos. (p
8. Ayer Manuel no
bien. (sentirse)
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Ответ:
Since we want to solve for the variable x, we want to isolate x
a²x + (a - 1) = (a + 1)x ⇒ Distribute x to (a+1). Also, remove parentheses
a²x + a - 1 = ax + x ⇒ Subtract a from both sides
a²x - 1 = ax + x - a ⇒ Add 1 to both sides
a²x = ax + x - a + 1 ⇒ Subtract (ax + x) from both sides
a²x - (ax + x)= ax + x - a + 1 - (ax+x) ⇒ Simplify. Remember that multiplying positive by negative = negative
a²x - ax - x = ax + x - a + 1 - ax - x ⇒ Simplify
a²x - ax - x = -a + 1 ⇒ Factor out the x from a²x - ax - x
x(a² - a - 1) = -a + 1 ⇒ Divide both sides by (a² - a - 1)
x = (-a + 1) / (a² - a - 1)
However, we need to make sure that the denominator does not equal 0. Therefore, you set the denominator = 0 (just use the quadratic formula for this), and it gives that the denominator =0 when a = (1+√5)/2 AND (1-√5)/2
Therefore, the final answer is
x = (-a + 1) / (a² - a - 1) given that a ≠ (1+√5)/2, a ≠ (1-√5)/2