Answer:
1. x =(3-√257)/4=-3.258
2. x =(3+√257)/4= 4.758
Step-by-step explanation:
irst add
x
to both sides of the second equation to get:
y
=
x
+
3
Then substitute this expression for y into the first equation to get:
29
=
x
2
+
(
x
+
3
)
2
=
2
x
2
+
6
x
+
9
Subtract 29 from both ends to get:
0
=
2
x
2
+
6
x
−
20
Divide both sides by 2 to get:
0
=
x
2
+
3
x−
10
=
(
x+
5
)
(
x
−
2
)
So x
=
2 or x
=
−
5
If x
=
2 then y
=
x
+
3
=
5
.
If x
=
−
5 then y=x
+
3
=
−
2
So the two solutions
(
x,
y
) are (
2
,
5
) and (
−
5
,
−
2
)
