Welcome to the article The sum of two numbers is 25 and the sum of their squares is 313 What are the two numbers. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
13
and
12
Explanation:
If
x
+
y
=
25
then
y
=
25
−
x
.
Substitute:
x
2
+
y
2
=
313
x
2
+
(
25
−
x
)
2
=
313
2
x
2
−
50
x
+
312
=
0
x
2
−
25
x
+
156
=
0
(
x
−
13
)
(
x
−
12
)
=
0
x
=
13
,
y
=
12
x
=
12
,
y
=
13
and
12
Explanation:
If
x
+
y
=
25
then
y
=
25
−
x
.
Substitute:
x
2
+
y
2
=
313
x
2
+
(
25
−
x
)
2
=
313
2
x
2
−
50
x
+
312
=
0
x
2
−
25
x
+
156
=
0
(
x
−
13
)
(
x
−
12
)
=
0
x
=
13
,
y
=
12
x
=
12
,
y
=
13
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