Question

Aftab tells his daughter, “Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be.” (Isn’t this interesting?) Represent this situation algebraically and graphically.
ᴛᴏxɪᴄ ʙᴀɴᴅᴀ ɪ ʟᴏᴠᴇ ʏᴏᴜ sᴏ ᴍᴜᴄʜ ʙᴀʙʏ ʏᴏᴜ ᴀʀᴇ sᴏ ʜᴀɴᴅsᴏᴍᴇ ᴀɴᴅ ᴏɴᴇ ᴛʜɪɴɢ ᴀᴀᴘ ᴍᴇʀᴇ ʜᴏ ᴊᴀᴏ ᴜss ᴍɪssᴍɪsʜᴀᴘ ᴋᴏ ᴄʜᴏʀᴏ..​

Answer 1

Answer:

ᴀʙᴇ ᴏᴏ ᴄʜɪᴍᴋᴀɴᴅɪ ᴄʜʟ ᴄʜᴜᴘ ᴄʜᴀᴘ ᴅᴀғғᴀ ʜᴏ ᴠᴏ ɴᴏɪ ᴋʀᴛᴀ ᴛᴇʀᴇ sᴇ ᴘʏᴀʀ.. ᴀɴᴅ ɴʜɪ ʜᴏᴜɴɢɪ ᴜssᴇ ᴅᴜʀ ʙɪʟᴋᴜʟ ɴʜɪ ᴏʀ ᴋᴀʀᴇᴇʙ ᴀᴜɴɢɪ ᴛᴇʀᴇ sᴇ ᴍᴛʟʙ ᴄʜʟ ᴅᴀғғᴀ ʜᴏ ᴠᴀᴘᴀs ᴜsᴋᴇ ᴘᴀᴀs ᴅɪᴋʜɴᴀ ᴍᴀᴛ...ʙʜᴇᴊᴇ ᴍᴇ ɢʜᴜs ɢʏᴀ ᴛᴏ ᴊᴀ

⇒6x2–7x–3 = 6x2 – 9x + 2x – 3 = 3x(2x – 3) +1(2x – 3) = (3x+1)(2x-3)

Therefore, zeroes of polynomial equation 6x2–3–7x are (-1/3, 3/2)

Sum of zeroes = -(1/3)+(3/2) = (7/6) = -(Coefficient of x)/(Coefficient of x2)

Product of zeroes = -(1/3)×(3/2) = -(3/6) = (Constant term) /(Coefficient of x2 )