Chapter 9 Radical Functions

SSM: Intermediate Algebra Homework 9.4
65.
67.
x + 2 − x x + 2 − x x + 2 + x
= ⋅
2 2 x + 2 + x
=
( x + 2) −( x )
2( x + 2 + x )
x + 2 − x
=
2 2
2 2
( x + + x )
2
=
2 2
=
1 3 1 x 3
− ⋅ −
x x x x x
=
2
+
1 2 x 1
x x ⋅ +
x x x
=
=
x 3
−
x x
2 x
+
1
x x
x −3
x
2 x + 1
x
( x + + x )
1
x + 2 +
x − 3 2 x + 1
= ÷
x x
x − 3 x
= ⋅
x 2 x + 1
x − 3
=
2 x + 1
x − 3 2 x −1
= ⋅
2 x + 1 2 x −1
=
x
( 2 x ) − ( 1)
2 2
( )
x ⋅ 2 x − x ⋅1− 3⋅ 2 x − 3 −1
2x − x − 6 x + 3
=
4x
−1
2x
− 7 x + 3
=
4x
−1
69. x 2 + 3 5 = 9 5
x
x
6 5
x =
2
2 = 9 5 − 3 5
2 = 6 5
6 5 2
= ⋅
2 2
=
6 10
2
= 3 10
71. Answers may vary.
1. Determine the conjugate of the denominator.
2. Multiply the original fraction by the fraction
conjugate
conjugate
3. Find the product of the fractions and
simplify.
Homework 9.4
1. y = 2
x y
0 0
1 2
4 4
9 6
16 8
x
3. y = − x
x y
0 0
1 −1
4 −2
9 −3
16 −4
8
4
−4
−8
y
y
4 8
4
8
x
x
285