the разность of two numbers is-8 and the sum of their squares is 50.Find the numbers

Решение

t h e d i ff ere n ce o f tw o n u mb ers i s - 8 an d t h e s u m o f t h e i r s q u a res i s 50. F in d t h e n u mb ers

The numbers : - 1, 7 or - 7, 1

Шаги решения

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

x - y = - 8

x^{2} + y^{2} = 50

Решите систему уравнений:

x - y = - 8, x^{2} + y^{2} = 50 : (x = - 1, x = - 7, y = 7 y = 1)

The numbers : - 1, 7 or - 7, 1