the product of two numbers is 120. the sum of their squares is 289. find the sum of two numbers.
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ʟᴇᴛ ᴛʜᴇ ɴᴜᴍʙᴇʀ ɪs x ᴀɴᴅ ʏ. ᴘʀᴏᴅᴜᴄᴛ ᴏғ ɴᴜᴍʙᴇʀs = xʏ= sᴜᴍ ᴏғ ᴛʜᴇɪʀ sǫᴜᴀʀᴇs = x² + ʏ² ᴛʜᴇɴ, ᴜsᴇ ɪᴅᴇɴᴛɪᴛʏ => (x+ʏ)²= x²+ʏ²+xʏ => (x+ʏ)² = + × => (x+ʏ)² = => x+ʏ = ()½ = ᴀɴs
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