Question

The product of two consecutive positive odd number is 52 then Qudratic Equation is​

Answer 1

Let the two consecutive numbers are x , x+1

and there product is 52(given)

x(x+1)=52

${x}^{2} + x = 52$

${x}^{2} + x - 52 = 0$

Hope it will helps you:)

Answer 2

ғɪʀsᴛʟʏ ᴡʜᴀᴛ ᴀʀᴇ "ǫᴜᴀᴅʀᴀᴛɪᴄ ᴇǫᴜᴀᴛɪᴏɴ" ?

ɪɴ ᴀʟɢᴇʙʀᴀ, ᴀ ǫᴜᴀᴅʀᴀᴛɪᴄ ᴇǫᴜᴀᴛɪᴏɴ ɪs ᴀɴʏ ᴇǫᴜᴀᴛɪᴏɴ ᴛʜᴀᴛ ᴄᴀɴ ʙᴇ ʀᴇᴀʀʀᴀɴɢᴇᴅ ɪɴ sᴛᴀɴᴅᴀʀᴅ ғᴏʀᴍ ᴀs ᴀx²+ʙx+ᴄ=0 ᴡʜᴇʀᴇ x ʀᴇᴘʀᴇsᴇɴᴛs ᴀɴ ᴜɴᴋɴᴏᴡɴ, ᴀɴᴅ ᴀ, ʙ, ᴀɴᴅ ᴄ ʀᴇᴘʀᴇsᴇɴᴛ ᴋɴᴏᴡɴ ɴᴜᴍʙᴇʀs, ᴡʜᴇʀᴇ ᴀ ≠ 0. ɪғ ᴀ = 0, ᴛʜᴇɴ ᴛʜᴇ ᴇǫᴜᴀᴛɪᴏɴ ɪs ʟɪɴᴇᴀʀ, ɴᴏᴛ ǫᴜᴀᴅʀᴀᴛɪᴄ, ᴀs ᴛʜᴇʀᴇ ɪs ɴᴏ ᴀx² ᴛᴇʀᴍ.

ǫᴜᴇsᴛɪᴏɴ :- ᴛʜᴇ ᴘʀᴏᴅᴜᴄᴛ ᴏғ ᴛᴡᴏ ᴄᴏɴsᴇᴄᴜᴛɪᴠᴇ ᴘᴏsɪᴛɪᴠᴇ ᴏᴅᴅ ɴᴜᴍʙᴇʀ ɪs 52 ᴛʜᴇɴ ǫᴜᴀᴅʀᴀᴛɪᴄ ᴇǫᴜᴀᴛɪᴏɴ ɪs ?

ʏᴏᴜʀ ᴀɴsᴡᴇʀ ᴏғ ǫᴜᴇsᴛɪᴏɴ ɢɪᴠᴇɴ ʙᴇʟᴏᴡ ⤵️⤵️

ʟᴇᴛ ᴛʜᴇ ᴛᴡᴏ ᴄᴏɴsᴇᴄᴜᴛɪᴠᴇ ɴᴜᴍʙᴇʀs ᴀʀᴇ x , x+1

ᴀɴᴅ ᴛʜᴇʀᴇ ᴘʀᴏᴅᴜᴄᴛ ɪs 52 (ɢɪᴠᴇɴ).

$x(x + 1) = 52$

${x}^{2} + x = 52$

ɴᴏᴡ, ᴛᴏ ᴍᴀᴋᴇ ǫᴜᴀᴅʀᴀᴛɪᴄ ᴇǫᴜᴀᴛɪᴏɴ ᴡᴇ ʜᴀᴠᴇ ʙʀɪɴɢ 52 ғʀᴏᴍ ʀʜs ᴛᴏ ʟʜs.

${x}^{2} + x - 52 = 0$

ʜᴇɴᴄᴇ ᴛʜɪs ᴀɴsᴡᴇʀ ɪs ɴᴏᴡ ᴀ ǫᴜᴀᴅʀᴀᴛɪᴄ ᴇǫᴜᴀᴛɪᴏɴ.

HOPE IT HELPS UH ♡~