"For HELPCLICK only!!"_BIO II and College Math_forum-B
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collegemath_1_5-for-helpclick.pptxSection 1.5
Radical Equations
Equations Quadratic in Form
Absolute Value Equations
Factorable Equations
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
extraneous solution (does not work in the original equation)
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
Copyright © 2013 Pearson Education, Inc. All rights reserved
3
Find the real solutions of the equation
3120.
x
--=
3
312
x
-=
(
)
3
3
3
312
x
-=
318
x
-=
39
x
=
3
x
=
{
}
The solution set is 3.
Find the real solutions of the equation
11.
xx
+=-+
0 or 3
xx
==
(
)
(
)
2
2
11
xx
+=-+
2
121
xxx
+=-+
2
30
xx
-=
(
)
30
xx
-=
0101
11
+=-+
=
3131
22
+=-+
¹-
{
}
The solution set is 0.
Find the real solutions of the equation
511.
xx
--=
(41)(1)0
xx
--=
1
or 1
4
xx
==
11
511
44
11
1
44
æö
--=
ç÷
èø
-¹
5(1)111
211
--=
-=
{
}
The solution set is 1.
511
xx
-=+
(
)
(
)
22
511
xx
-=+
5121
xxx
-=++
422
xx
-=
21
xx
-=
(
)
(
)
2
2
21
xx
-=
2
441
xxx
-+=
2
4510
xx
-+=
(
)
(
)
2
Find the real solutions of the equation
23220.
xx
---+=
(
)
2
2
Let 2. Then 2
uxux
=-=-
2
320
uu
-+=
(2)(1)0
uu
--=
2 or 1
uu
==
22 or 21
xx
-=-=
4 or 3
xx
==
{
}
The solution set is 3,4.
Find the real solutions of the equation
560.
xx
-+=
2
Let . Then
uxux
==
2
560
uu
-+=
(3)(2)0
uu
--=
3 or 2
uu
==
3 or 2
xx
==
9 or 4
xx
==
{
}
The solution set is 4,9.
32
Solve the equation: 2
xxx
-=
32
20
xxx
--=
2
(2)0
xxx
--=
(2)(1)0
xxx
-+=
0 or 2 or 1
xxx
===-
{
}
The solution set is 1,0,2.
-
32
Solve the equation: 34120
xxx
--+=
2
(3)4(3)0
xxx
---=
(
)
2
4(3)0
xx
--=
(
)
2(2)(3)0
xxx
+--=
2 or 2 or 3
xxx
=-==
{
}
The solution set is 2,2,3.
-
