Solving Linear–Quadratic Systems
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
Identify the number of real solutions if substitution gives
(
x
−
2
)
2
=
0
(x-2)^2=0
(
x
−
2
)
2
=
0
.
QUESTION
Find the intersection points of
y
=
x
+
2
y=x+2
y
=
x
+
2
and
y
=
−
x
2
+
2
y= -x^2+2
y
=
−
x
2
+
2
.
QUESTION
Find the intersection points of
y
=
x
y=x
y
=
x
and
x
2
+
y
2
=
2
x^2+y^2=2
x
2
+
y
2
=
2
.
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ANSWER
(
−
1
,
−
1
)
( -1,-1)
(
−
1
,
−
1
)
and
(
1
,
1
)
(1,1)
(
1
,
1
)
. Substitute
y
=
x
y=x
y
=
x
into
x
2
+
y
2
=
2
x^2+y^2=2
x
2
+
y
2
=
2
and solve.
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