Question

La suma de los elementos del conjunto solución de
p(x):|9-x|-7x/22-48/11=0
Es:
a)0
b)7
c)7/11
d)48/11
e)7/22

Answer 1

Respuesta:

102/29 + 294/15 = (1530 + 8526) / 435 = (10.056) / 435 = (3.352) / 145 = 23.117

Explicación paso a paso:

DESARROLLO

{|9-x| = 7x/22 + 48/11} ≡

{9-x ≥0 ∧ 9 - x = 7x/22 + 48/11} ∪ {9-x < 0 ∧ -(9-x) = 7x/22 + 48/11}

{9 ≥ x ∧ 9 - 48/11 = 7x/22 + x} ∪ {9 < x ∧ -(9-x) = 7x/22 + 48/11}

{x ≤ 9 ∧ 51/11 = 29x/22} ∪ {x > 9 ∧ -9+x) = 7x/22 + 48/11}

{ x ≤ 9 ∧ 51 = 29x/2} ∪ {x > 9 ∧ -9-48/11 = 7x/22-x}

{x ≤ 9 ∧ 102 = 29x} ∪ {x > 9 ∧ -147/11 = -15x/22}

{x ≤ 9 ∧ 102/29 = x} ∪ {x > 9 ∧ 147 = 15x/2}

{ x ≤ 9∧ x = 102/29} ∪ {x > 9 ∧ 294 = 15x}

{x ≤ 9 ∧ x = 3,5172} ∪ {x > 9 ∧ x = 294/15}

{x ≤ 9 ∧ x=3,5172} ∪ {x > 9 ∧ x = 19.6}

 

Solución: x_1 = 102/29

 

Solución: x_2 = 294/15

⟹ x_1 = 102/29 + x_2 = 294/15

102/29 + 294/15 = (1530 + 8526) / 435 = (10.056) / 435 = (3.352) / 145 = 23.117

COMPROBACIÓN DE x_1 =  102/29  

|9-x| = 7x/22 + 48/11

|9-102/29| = (7(102/29))/22 + 48/11

|159/29| = (714/29)/22 + 48/11

|159/29| = 714/638 + 48/11

|159/29| = (714*11 + 638*48) / (7.018)

|159/29| = (7.854 + 30.624) / (7.018)

|159/29| = (38.478) / (7.018)

|159/29| = 159/29

159/29 = 159/29

COMPROBACIÓN DE x_2 =  294/15  

|9-x| = 7x/22 + 48/11

|9-294/15| = (7(294/15))/22 + 48/11

|(135-294)/15| = ((2.058)/15)/22 + 48/11

|-159/15| = (2.058)/330 + 48/11

159/15 = (2.058*11 + 330*48) / (3.630)

159/15 = (22.638+15.840) / (3.630)

53/5 = (38.478) / (3.630)

53/5 = 53/5

0ec0714229bf38c26349c8f7386d1021.docx

Answer 2

Respuesta:

es 0

Explicación paso a paso:  DESTRUIMOS EL VALOR ABSOLUTO

9-X²-7X/22-48/11=0    BUSCAMOS UN MINIMO COMUN EN ESTE CASO 22

22(9)- 22X²-22(7X/22)-22(48/11)= 0

198-22X²-7X-96=0              -198+22X²-7X-96=0

-22X²-7X+102=0                    22X²-7X-294=0

X1+X2=-b/a=-7/22                           X1+X2=b/a=7/22

-7/22  +7/22=0