Solving Nonlinear Functions
PSAT Math · Flashcards · Recall
PSAT MATH · FLASHCARDS
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QUESTION
Identify the first step to solve
f
(
x
)
=
g
(
x
)
f(x)=g(x)
f
(
x
)
=
g
(
x
)
when
f
f
f
and
g
g
g
are nonlinear functions.
QUESTION
What is the standard method to solve
a
(
b
x
+
c
)
2
=
d
a(bx+c)^2=d
a
(
b
x
+
c
)
2
=
d
when
a
≠
0
a\ne 0
a
=
0
and
d
/
a
≥
0
d/a\ge 0
d
/
a
≥
0
?
QUESTION
What does
Δ
=
0
\Delta=0
Δ
=
0
imply about the real solutions of
a
x
2
+
b
x
+
c
=
0
ax^2+bx+c=0
a
x
2
+
b
x
+
c
=
0
?
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ANSWER
1
1
1
real solution (a repeated root). Zero discriminant makes
±
0
=
0
\pm\sqrt{0}=0
±
0
=
0
, giving one solution.
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