x^2 +y^2=17 y=x-3 solvd simultaneously
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0
Answer:
Step-by-step explanation:
Sub.ing
y
=
x
+
3
in the first eqn. to get.
x
2
+
(
x
+
3
)
2
=
17
,
or
,
2
x
2
+
6
x
+
9
−
17
=
0
, i.e.,
x
2
+
3
x
−
4
=
0
⇒
(
x
−
1
)
(
x
+
4
)
=
0
⇒
x
=
1
,
x
=
−
4
. Then, from
y
=
x
+
3
,
y
=
4
,
y
=
−
1
.
These roots satisfy the eqns.
Thus, the Soln. Set
=
{
(
1
,
4
)
,
(
−
4
,
−
1
)
}
.
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