SOLUTION: Hello, please help!! The sum of the squares of two numbers is 106. The sum of the two numbers is -4. Find the two numbers? Thank you!!!

Algebra.Com
Question 1008272: Hello, please help!!
The sum of the squares of two numbers is 106. The sum of the two numbers is -4. Find the two numbers?
Thank you!!!

Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!



-
substitute this into the squares equation.










x can be either 5 or -9.
Correspondingly,
y can be either -9 or 5.

The two numbers are 5 and -9
Because this will match the second part of the description: that the sum be NEGATIVE 4.

RELATED QUESTIONS

The difference of two numbers is 4 and the sum of their squares is 106. Find the... (answered by jorel1380)
The sum of the squares of two positive numbers is 106 106. The difference of their... (answered by ikleyn)
The sum of two numbers is 14. The sum of the squares of the two numbers is 106. Find the... (answered by ewatrrr)
1.The sum of two numbers is 106, the difference of squares of two numbers is 56. Find... (answered by dfrazzetto)
The difference of two numbers is 4 and the sum of their squares is 106. what is the... (answered by JulietG)
Two numbers have a sum of 106. One number is 10 less than the other. Find the... (answered by josgarithmetic)
the difference of two numbers is 4, and the sum of their squares is 58. Find the numbers... (answered by friesr)
The sum of squares of two consecutive positive numbers is 41. Find the two numbers (answered by Fombitz,Alan3354,MathTherapy)
The sum of squares of two positive integersis is 106. Out of that sum of the greatest... (answered by macston)