Question

Express the 841 perfect square as the sum of two consecutive integers

Answer 1

Answer:

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ʟᴇᴛ ᴛʜᴇ ғɪʀꜱᴛ ᴄᴏɴꜱᴇᴄᴜᴛɪᴠᴇ ɪɴᴛᴇɢᴇʀ ʙᴇ=x

ʟᴇᴛ ᴛʜᴇ ꜱᴇᴄᴏɴᴅ ᴄᴏɴꜱᴇᴄᴜᴛɪᴠᴇ ɪɴᴛᴇɢᴇʀ ʙᴇ=x+1

x+x+1=841

2x+1=841

2x=841-1

2x=840

x=840/2

x=420

ғɪʀꜱᴛ ɪɴᴛᴇɢᴇʀ=x=420

second integer=x+1=420+1=421

ᴘʀᴏᴠᴇ:

x+x+1=841

420+421=840

841=841

ʟ.ʜ.ꜱ.=ʀ.ʜ.ꜱ.

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