Systems of Polynomial Equations
PSAT · Flashcards · Application
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QUESTION
Solve the system
y
=
x
2
y=x^2
y
=
x
2
and
x
+
y
=
6
x+y=6
x
+
y
=
6
for
(
x
,
y
)
(x,y)
(
x
,
y
)
.
QUESTION
Solve the system
y
=
x
2
−
1
y=x^2-1
y
=
x
2
−
1
and
y
=
0
y=0
y
=
0
; what are the solution points?
QUESTION
Identify the best first step to solve
y
=
2
x
+
1
y=2x+1
y
=
2
x
+
1
and
x
2
+
y
2
=
5
x^2+y^2=5
x
2
+
y
2
=
5
using substitution.
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ANSWER
Substitute
y
=
2
x
+
1
y=2x+1
y
=
2
x
+
1
into
x
2
+
y
2
=
5
x^2+y^2=5
x
2
+
y
2
=
5
. Replace
y
y
y
in the circle equation to get a quadratic in
x
x
x
.
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