Question

$3 {x}^{2} - 5x - 2$
​

Answer 1

Answer:

$\huge{\underline{\underline{\boxed{\sf{\red{Answer᭄}}}}}}$

Tʜᴇ ɢɪᴠᴇɴ ᴇϙᴜᴀᴛɪᴏɴ ɪs ɴᴏᴛ ɪɴ ᴛʜᴇ ғᴏʀᴍ ᴛᴏ ᴀᴘᴘʟʏ ᴛʜᴇ ᴍᴇᴛʜᴏᴅ ᴏғ ᴄᴏᴍᴘʟᴇᴛɪɴɢ sϙᴜᴀʀᴇs. Tʜᴇ ᴄᴏᴇғғɪᴄɪᴇɴᴛ ᴏғ x2 ɪs ɴᴏᴛ 1.

Tᴏ ᴍᴀᴋᴇ ᴛʜᴇ ᴄᴏᴇғғɪᴄɪᴇɴᴛ 1, ᴡᴇ ɴᴇᴇᴅ ᴛᴏ ᴅɪᴠɪᴅᴇ ᴛʜᴇ ᴡʜᴏʟᴇ ᴇϙᴜᴀᴛɪᴏɴ ʙʏ 3.

x2 – 5/3 x + 2/3 = 0

Cᴏᴍᴘᴀʀɪɴɢ ᴡɪᴛʜ ᴛʜᴇ sᴛᴀɴᴅᴀʀᴅ ғᴏʀᴍ ᴏғ ᴛʜᴇ ᴇϙᴜᴀᴛɪᴏɴ

Sᴛᴀɴᴅ ғᴏʀᴍ ᴏғ ᴇϙᴜᴀᴛɪᴏɴ ɪs

ᴀx2 + ʙx + ᴄ = 0, ᴡʜᴇʀᴇ ᴀ,ʙ ᴀɴᴅ ᴄ ᴀʀᴇ ʀᴇᴀʟ ɴᴜᴍʙᴇʀs sᴜᴄʜ ᴛʜᴀᴛ ᴀ ≠ 0 ᴀɴᴅ x ɪs ᴀ ᴠᴀʀɪᴀʙʟᴇ.

ʙ = -5/3; ᴄ = ⅔

ᴄ – ʙ2/4 = ⅔ – [(5/3)2/4] = ⅔ – 25/36 = -1/36

Sᴏ,

= (x – 5/6)2 = 1/36

= (x – 5/6)= ± √(1/36)

= x – 5/6 = ±1/6

= x = 1, -2/3

Hᴇɴᴄᴇ ᴛʜᴇ ʀᴏᴏᴛs ᴏғ ᴛʜᴇ ᴇϙᴜᴀᴛɪᴏɴ ᴀʀᴇ x = 1, -2/3