Question

the difference between 2 positive numbers is 5 and square of their sum is 169 find the 2 number

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Answer 1

Answer:

the difference between 2 positive numbers is 5 and square of their sum is 169 find the 2 number

Answer 2

Answer:

y=4

Step-by-step explanation:

x-y=5

x=5+y-----> 1

{x}^{2} + {y}^{2} = 169x

2

+y

2

=169

(2y + 5) {}^{2} = \frac{ + }{ - } \sqrt{169}(2y+5)

2

=

−

+

169

2y + 5 = \frac{ + }{ - } 132y+5=

−

+

13

2y = - 5 + 132y=−5+13

\frac{2y}{2} = \frac{8}{2}

2

2y

=

2

8

y = 4y=4

2y = - 5 - 132y=−5−13

\frac{2y}{2} = \frac{ - 18}{2}

2

2y

=

2

−18

y = - 9y=−9 Ignore Negative sign

Y=4