SOLUTION: Please show work Two negative integers have a sum of -10. If the sum of their squares is 68, than what are the two integers?

SOLUTION: Please show work Two negative integers have a sum of -10. If the sum of their squares is 68, than what are the two integers?

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Question 309100: Please show work
Two negative integers have a sum of -10. If the sum of their squares is 68, than what are the two integers?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
2.
From eq. 1,

Substitute into eq. 2,

Two solutions:

, then from eq. 1,
.
.
.

, then from eq. 1,
.
.
.
-2 and -8 are your two integers.
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