Question

2(x+3)=2+6(x_10)ayudaaa es hallar el valor de x​

Answer 1

1) Hᴀʟʟᴀʀ ᴇʟ ᴠᴀʟᴏʀ ᴅᴇ x ᴇɴ ʟᴀ ᴇᴄᴜᴀᴄɪᴏɴᴇs:
ᴀ) 3x = 21⇒ x = 21 / 3 ⇒x = 7

ʙ) 3x - 4 = 8 ⇒ 3x = 8 + 4 ⇒ 3x = 12 ⇒x = 12 / 3 ⇒ x = 4

ᴄ) 2x - 5x + 3 = -x ⇒ -3x +3 = -x ⇒ -3x +x = -3 ⇒ -2x = -3 ⇒ x = -3 / -2


x= 3 / 2


2) Hᴀʟʟᴀʀ ᴇʟ ᴠᴀʟᴏʀ ᴅᴇ ᴀ ᴇɴ ʟᴀ ᴇᴄᴜᴀᴄɪᴏɴᴇs:

ᴀ) 2ᴀ / 3 = 6 / 5 ⇒2ᴀ = 3 (6) / 5⇒ 2ᴀ = 18 / 5 ⇒ ᴀ = 18 / 2 (5)⇒ ᴀ = 18 / 10

ᴀ = 9 / 5

ʙ) 1 / 6 = 3 ᴀ / 36⇒ Rᴇᴏʀᴅᴇɴᴀɴᴅᴏ ʟᴀ ɪɢᴜᴀʟᴅᴀᴅ:
3 ᴀ / 36 = 1 / 6⇒ 3ᴀ = 36 (1) / 6 ⇒ 3ᴀ = 36 / 3⇒ 3ᴀ = 12⇒ ᴀ = 12 / 3

ᴀ = 4

ᴄ) 5ᴀ / 3 = 20 / 3⇒ 5ᴀ = 3 (20) / 3 ⇒5ᴀ = 20⇒ ᴀ = 20 / 5⇒ ᴀ = 4

3
ᴀ) Hᴀʟʟᴀʀ ᴇʟ ᴠᴀʟᴏʀ ᴅᴇ x ᴇɴ ʟᴀ ᴇᴄᴜᴀᴄɪᴏ́ɴ (x / 3) - 4 = 2

x / 3 = 2 + 4⇒ x / 3 = 6⇒ x = 3 (6)⇒ x = 18

ʙ) Hᴀʟʟᴀʀ ʟᴏs ᴠᴀʟᴏʀᴇs ᴅᴇ x ᴇɴ ʟᴀ ᴇᴄᴜᴀᴄɪᴏ́ɴ x² + x - 2 = 0

Fᴀᴄᴛᴏʀɪᴢᴀɴᴅᴏ ᴘᴏʀ ᴇʟ ᴍᴇ́ᴛᴏᴅᴏ ᴅᴇʟ ᴀsᴘᴀ:
Aᴘʟɪᴄᴀᴍᴏs ʟᴀ ʀᴇɢʟᴀ ᴅᴇ ʟᴏs sɪɢɴᴏs ᴅᴇ ʟᴀ ᴍᴜʟᴛɪᴘʟɪᴄᴀᴄɪᴏ́ɴ:

(+) (+) = (+) Sɪɢɴᴏ ᴅᴇʟ Pʀɪᴍᴇʀ Fᴀᴄᴛᴏʀ
(+) (-) = (-) Sɪɢɴᴏ ᴅᴇʟ Sᴇɢᴜɴᴅᴏ ғᴀᴄᴛᴏʀ

( + ) ( - ) = 0

Dᴇsᴄᴏᴍᴘᴏɴᴇᴍᴏs x² = (x) (x)

-2 = (+2) (-1)
x +2

x -1
Mᴜʟᴛɪᴘʟɪᴄᴀᴍᴏs ᴇɴ ᴀsᴘᴀ:

(x) (-1) + (x) (+2) = -x + 2x = + x

Lᴏs ғᴀᴄᴛᴏʀᴇs sᴇʀᴀ́ɴ:

( x + 2 ) ( x - 1 ) = 0

Iɢᴜᴀʟᴀᴍᴏs ᴄᴀᴅᴀ ғᴀᴄᴛᴏʀ ᴀ ᴄᴇʀᴏ:

x + 2 = 0 ⇒ x = -2

x -1 = 0 ⇒ x = +1

ᴄ) Lᴀ sᴜᴍᴀ ᴅᴇ ᴛʀᴇs ɴᴜ́ᴍᴇʀᴏs ᴇɴᴛᴇʀᴏs ᴄᴏɴsᴇᴄᴜᴛɪᴠᴏs ᴇs 33, Cᴜᴀ́ʟᴇs sᴏɴ ᴇsᴛᴏs ɴᴜ́ᴍᴇʀᴏs?

Sᴇᴀɴ x, (x + 1), (x + 2) ʟᴏs 3 ɴᴜ́ᴍᴇʀᴏs ᴄᴏɴsᴇᴄᴜᴛɪᴠᴏs

x + x +1 + x + 2 = 33

3x +3 = 33

3x = 33 -3

3x = 30

x = 30 / 3

x = 10

x +1 = 10 +1 = 11

x +2 = 10 +2 = 12