Question

need your help for math problems

Answer 1

(1)
ʟᴇᴛ ᴛʜᴇ ꜰɪʀꜱᴛ ᴄᴏɴꜱᴇᴄᴜᴛɪᴠᴇ ɴᴜᴍʙᴇʀ ʙᴇ x
ᴀɴᴅ 2ɴᴅ. ʙᴇ x+1
x(x+1)=72
x²+x=72
x²+x-72=0
x²+9x-8x-72=0
x(x-8)+9(x-8)
(x+9)(x-8)
x=-9 ᴏʀ x=8
ᴛʜᴇ ᴄᴏɴꜱᴇᴄᴜᴛɪᴠᴇ ɴᴜᴍʙᴇʀꜱ ᴀʀᴇ 8 ᴀɴᴅ 9
(2)
ʟᴇᴛ ᴛʜᴇ ꜰɪʀꜱᴛ ᴩᴀʀᴛ ʙᴇ x
ᴀɴᴅ ɴᴇxᴛ ᴩᴀʀᴛ ʙᴇ (x-8)
ᴀᴛq
x²+(x-8)²=34
x²+x²+64-16x=34
2x²-16x+30=0
x²-8x+15=0
x²-3x-5x+15x=0
x(x-3)-5(x-3)=0
(x-5)+(x-3)=0
x=5 ᴏʀ x=3
5 ᴀɴᴅ 3 ᴀʀᴇ ᴛᴡᴏ ᴩᴀʀᴛꜱ