Two numbers have a sum of 10. The sum of their squares is 80
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0
Answer:
Step-by-step explanation:
f
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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