Sec 2 4
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Math Analysis
Section 2.4 Notes: Other Types of Equations
Properties of Absolute Value:
1.) x + 4 = 5 x − 2
2 2.) x + 4 x − 3 = 2
2 3.) x + 3 x − 10 = 0
Extraneous Solutions: Power Principle:
4.)
3
( x + 1) 2 = 4
5.) 5 + 3 x − 11 = x
7.) Applying the power principle twice:
Solving
f ( x) =0 g ( x)
6.)
4
x3 − x + 1 = x2 −1
2x − 3 − x + 7 = 2
8.)
6x 2 − x − 1 =0 2x 2 + 9x − 5
9.) Stella is standing at A on the bank of a river. She wants to reach point B. She plans on rowing at 4 km/h to point C, then running the rest of the way at 8 km/h. If the whole trip takes 3 hrs., how A far from B should she land? (Use d=rt) 2.5 km C
B 15 km
Section 2.4 Notes: Other Types of Equations
Properties of Absolute Value:
1.) x + 4 = 5 x − 2
2 2.) x + 4 x − 3 = 2
2 3.) x + 3 x − 10 = 0
Extraneous Solutions: Power Principle:
4.)
3
( x + 1) 2 = 4
5.) 5 + 3 x − 11 = x
7.) Applying the power principle twice:
Solving
f ( x) =0 g ( x)
6.)
4
x3 − x + 1 = x2 −1
2x − 3 − x + 7 = 2
8.)
6x 2 − x − 1 =0 2x 2 + 9x − 5
9.) Stella is standing at A on the bank of a river. She wants to reach point B. She plans on rowing at 4 km/h to point C, then running the rest of the way at 8 km/h. If the whole trip takes 3 hrs., how A far from B should she land? (Use d=rt) 2.5 km C
B 15 km
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