Question

if x+y=7,xy=10,then the value of 1|x3+1|y3​

Answer 1

Answer:

• ɢɪᴠᴇɴ :

• x + ʏ = 7 ____ ᴇQ 1

• x × ʏ = 10 ____ᴇQ 2

• ᴛᴏ ꜰɪɴᴅ :

✏ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏꜰ 1/x³ + 1/y³

• ꜱᴏʟᴜᴛɪᴏɴ :

✏ ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ...

✰✰ x - ʏ = √[ (x + ʏ)² - 4xʏ ]

ꜱᴏ...

ᴋᴇᴇᴘ ᴠᴀʟᴜᴇꜱ ʙʏ ᴇQ 1 & ᴇQ 2...

✏ x - ʏ = √[ (7)² - 4.10 ]

✏ x - ʏ = √[ 49 - 40 ]

✏ x - ʏ = √9

✏ x - ʏ = 3 _____ ᴇQ 3...

✰✰ ɴᴏᴡ, ᴀᴅᴅ ᴇQᴜᴀᴛɪᴏɴ 1 & ᴇQᴜᴀᴛɪᴏɴ 2...

✏ 2x = 10

✏ x = 10/2

✏x = 5

ꜱᴜʙꜱᴛɪᴛᴜᴛɪɴɢ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏꜰ x ɪɴ ᴇQ 1...

✏ 5 + ʏ = 7

✏ ʏ = 7 - 5

✏ ʏ = 2

ᴛʜᴜꜱ...

✰✰ ᴠᴀʟᴜᴇ ᴏꜰ x = 5

✰✰ ᴠᴀʟᴜᴇ ᴏꜰ ʏ = 2

ɴᴏᴡ, ᴡᴇ ʜᴀᴠᴇ ᴛᴏ ꜰɪɴᴅ...

✏1/x³ + 1/y³

ꜱᴜʙꜱᴛɪᴛᴜᴛɪɴɢ ᴠᴀʟᴜᴇꜱ ᴏꜰ x ᴀɴᴅ ʏ...

✏ 1/5³ + 1/2³

✏ 1/125 + 1/8

✏8+125/125×8

✏ 133/1000

ᴇxᴛʀᴀ :

ꜱᴜʙꜱᴛɪᴛᴜᴛɪɴɢ ᴠᴀʟᴜᴇꜱ ᴏꜰ x ᴀɴᴅ ʏ ɪɴ ᴇQᴜᴀᴛɪᴏɴ 1...

✏ x + ʏ = 7

✏ 5 + 2 = 7

✏ 7 = 7

ʟ.ʜ.ꜱ. = ʀ.ʜ.ꜱ

❗ʜᴇɴᴄᴇ ᴘʀᴏᴠᴇᴅ❗

_______________________________________________