Solving Nonlinear Functions
PSAT Math · Flashcards
PSAT MATH · FLASHCARDS
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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
?
QUESTION
Solve for
x
x
x
:
(
x
−
4
)
(
x
+
1
)
=
0
(x-4)(x+1)=0
(
x
−
4
)
(
x
+
1
)
=
0
.
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ANSWER
x
=
4
x=4
x
=
4
or
x
=
−
1
x=-1
x
=
−
1
. Set each factor to zero:
x
−
4
=
0
x-4=0
x
−
4
=
0
or
x
+
1
=
0
x+1=0
x
+
1
=
0
.
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