PLZ ANSWER FIRST GETS BRAINLIEST + 20 POINTS
2 answers:
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Answer: 8 and 9 or -9 and -8
Step-by-step explanation:
Let be the first of the two integers. Then, since the numbers are consecutive,
is the other integer. We then know that the sum of the squares of
and
is equal to 145. So, now we have the equation
which can be expanded and simplified to
which then gives us the quadratic equation
This can then be factored into
Which can be simplified further into
So either or
. This gives us two solutions: 8 and 9 or -9 and -8.
Hope this helps! CHEERS!