Question

kuta software - infinite algebra 1
excluded values
name
date
state the excluded values for each.

1. \\(\frac{30k - 20}{90k}\\)
2. \\(\frac{16}{6n - 2}\\)
3. \\(\frac{18}{27x + 27}\\)
4. \\(\frac{35v - 63}{63}\\)
5. \\(\frac{p^2 - 18p + 81}{p - 9}\\)
6. \\(\frac{4x^2}{14x^2 - 16x}\\)
7. \\(\frac{a^2 - 10a + 25}{5 - a}\\)
8. \\(\frac{45r - 72}{27r}\\)
9. \\(\frac{81}{27n - 54}\\)
10. \\(\frac{x^2 + 3x - 70}{x + 10}\\)
11. \\(\frac{x^2 - 5x + 6}{x - 2}\\)
12. \\(\frac{10n - 20}{20n}\\)

Explanation:

Step1: Igualar denominador a 0

$90k = 0$

Step2: Resolver para $k$

$k = \frac{0}{90} = 0$

Step1: Igualar denominador a 0

$6n - 2 = 0$

Step2: Resolver para $n$

$6n = 2 \implies n = \frac{2}{6} = \frac{1}{3}$

Step1: Igualar denominador a 0

$27x + 27 = 0$

Step2: Resolver para $x$

$27x = -27 \implies x = \frac{-27}{27} = -1$

Step1: Igualar denominador a 0

$63 = 0$

Step2: Analizar resultado

No hay solución, no hay valores excluidos.

Step1: Igualar denominador a 0

$p - 9 = 0$

Step2: Resolver para $p$

$p = 9$

Step1: Igualar denominador a 0

$14x^2 - 16x = 0$

Step2: Factorizar denominador

$2x(7x - 8) = 0$

Step3: Resolver para $x$

$2x=0 \implies x=0$; $7x-8=0 \implies x=\frac{8}{7}$

Step1: Igualar denominador a 0

$5 - a = 0$

Step2: Resolver para $a$

$a = 5$

Step1: Igualar denominador a 0

$27r = 0$

Step2: Resolver para $r$

$r = \frac{0}{27} = 0$

Step1: Igualar denominador a 0

$27n - 54 = 0$

Step2: Resolver para $n$

$27n = 54 \implies n = \frac{54}{27} = 2$

Step1: Igualar denominador a 0

$x + 10 = 0$

Step2: Resolver para $x$

$x = -10$

Step1: Igualar denominador a 0

$x - 2 = 0$

Step2: Resolver para $x$

$x = 2$

Step1: Igualar denominador a 0

$20n = 0$

Step2: Resolver para $n$

$n = \frac{0}{20} = 0$

Answer:

1. $k=0$
2. $n=\frac{1}{3}$
3. $x=-1$
4. Sin valores excluidos
5. $p=9$
6. $x=0$ y $x=\frac{8}{7}$
7. $a=5$
8. $r=0$
9. $n=2$
10. $x=-10$
11. $x=2$
12. $n=0$