Question

m² = 2+2m
solve using
formula
​

Answer 1

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$\huge\fcolorbox{black}{aqua}{Solution:-}$

⛄ ᴀɴsᴡᴇʀ:-

✴ ᴍ1 = 1 - √3

✴ᴍ2 = 1 + √3

⛄ sᴛᴇᴘ-ʙʏ-sᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:-

ᴍ² = 2 + 2ᴍ

ᴍᴏᴠᴇ ᴛʜᴇ ᴇxᴘʀᴇssɪᴏɴ ᴛᴏ ᴛʜᴇ ʟᴇғᴛ sɪᴅᴇ.

=) ᴍ² - 2 - 2ᴍ = 0

ʀᴇᴏʀᴅᴇʀ ᴛʜᴇ ᴛᴇʀᴍs.

=) ᴍ² - 2ᴍ - 2 = 0

sᴏʟᴠᴇ ᴛʜᴇ ϙᴜᴀᴅʀᴀᴛɪᴄ ᴇϙᴜᴀᴛɪᴏɴ.

=) ᴍ= -(-2) ± √(-2)² - 4 × 1 × (-2)/ 2 × 1

ᴄᴀʟᴄᴜʟᴀᴛᴇ ᴀɴᴅ ʀᴇᴍᴏᴠᴇ ᴛʜᴇ ᴘᴀʀᴇɴᴛʜᴇsᴇs.

=) ᴍ= 2 ± √4 +8/ 2

ᴀᴅᴅ ᴛʜᴇ ɴᴜᴍʙᴇʀs.

=) ᴍ= 2 ± √12/ 2

sɪᴍᴘʟɪғʏ ᴛʜᴇ ʀᴏᴏᴛ.

=) ᴍ= 2 ± 2√3/ 2

ɴᴏᴡ, sᴇᴘᴀʀᴀᴛᴇ ᴛʜᴇ sᴏʟᴜᴛɪᴏɴs.

=) ✴ᴍ1 = 2 + 2√3/ 2

✴ ᴍ2 = 2 -2√3 /2

sɪᴍᴘʟɪғʏ ᴛʜᴇ ᴇxᴘʀᴇssɪᴏɴs..

→ ᴍ1 = 1 + √3

→ ᴍ2 = 1 - √3

ᴛʜᴇ ʀᴇϙᴜɪʀᴇᴅ ғɪɴᴀʟ sᴏʟᴜᴛɪᴏɴs.

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