Question

find two consecutive number whose squares have the sum 85​

Answer 1

Answer:The numbers are 6 and 7.

Step-by-step explanation:

Answer 2

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.