4M3 HW 36 due May 16 (Thu) 7:50 am

 4
1. Solve the equation (3x − 2)1 −  = 11 .
 x
(3x 2)(X 4) 11X -
-
=

3x (Sx + 8 =
0 X= 8 or X =
5
x 2 x 1
2. Solve the equation − = + .
2 3x 3 2 18x2 24 = 12x + 18 x
-
+

= 6x= 18x -
24 =
0

4 13
x= + or X =
4
3. Solve the equation + = 10 .
x − 1 3x + 2

#
23x -
5 = 30X2-10X-20
= 10

Sox35X1
=

1 5 x 5 = -

4. Solve the equation − 2 = 3 . (DON’T EXPAND BLINDLY)

x − 4 x − 3x − 4

#1) (x + 173x2
= 3 x 4 - =
3x 9x -

10x -

8 =
0
5. Solve the equation x + 10 x + 9 = 0 , where x is a real number. x 4
4 2

z
=
or
+ 10x*+ 9 X=
-

* =
x 0

X-1 Crej) X= -9 (rej) i No solution

6. Solve the equation x6 + 4x3 = 32. (Leave the answers in surd form if necessary.)
.

/ + 4x3 32 0
6
& - =

/
&
3
=
4 8 or : x 354 or 2
x3 = -
=
-

7. Solve the equation x + 2x − 15x = 0, where x is a real number. (Leave the answers in
6 4 2

surd form if necessary.) X (X* +2x2 15) -

=
0

X= 0 or X2 (rej) =
3 or X = -J
8. Solve the equation 4x = 3x + x, where x is a real number.
5 3 · X= 0 or + 55 or -
53
*
X(4X -
3X -

1) = 0

X= 0 or X= 1 or
XE-4 Cre ; ]

or 1 or 1
. X=0