find two consecutive number whose squares have the sum 85
akul2004:
the consecutive numbers are 6 & 7
Multiple answers: 2 & 9 work too
Oops, sorry.... I missed "consecutive".
Answers
Answered by
1
Answer:The numbers are 6 and 7.
Step-by-step explanation:
where are the steps
Answered by
14
Answer:
6,7 or -7, -6
Step-by-step explanation:
Let the first number be x, so the second number is x+1 (since they're consecutive).
Then the sum of their squares = 85
=> x² + ( x + 1 )² = 85
=> x² + x² + 2x + 1 = 85
=> 2x² + 2x - 84 = 0
=> x² + x - 42 = 0
=> ( x - 6 ) ( x + 7 ) = 0
=> x = 6 OR x = -7
=> the two numbers are 6 and 7 OR the two numbers are -7 and -6.
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