unit 4 radical functions project, algebra homework help

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Unit 4 Project Solve each equation. 1. 2. 3. √b + 15 = √3b + 1 3 √2w − 1 + 11 = 18 1 + √x + 5 = √x + 12 Simplify each expression. 4. 5. 6. √175 (6 − 3√2)(− 4 + √2) 2√6 + 4√24 7. 8 3 + √5 8. (9 2 • 9 3 ) 6 1 7 1 11 2 • 11 3 • 11 6 √256s11t18 9. 10. 1 6 2 1
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Unit 4 Project

Solve each equation

1. √𝒃 + 𝟏𝟓 = √𝟑𝒃 + 𝟏
√𝑏 + 15 = √3𝑏 + 1
(√𝑏 + 15)2 = (√3𝑏 + 1)2
𝑏 + 15 = 3𝑏 + 1
15 − 1 = 3𝑏 − 𝑏
14 = 2𝑏
14
𝑏=
2
𝒃=𝟕
𝟑

2. √𝟐𝒘 − 𝟏 + 𝟏𝟏 = 𝟏𝟖
3

√2𝑤 − 1 + 11 = 18
3

√2𝑤 − 1 = 7

3

3

( √2𝑤 − 1) = 73
2𝑤 − 1 = 343
2𝑤 = 344
𝑤 = 𝟏𝟕𝟐

3. 𝟏 + √𝒙 + 𝟓 = √𝒙 + 𝟏𝟐
1 + √𝑥 + 5 = √𝑥 + 12
(1 + √𝑥 + 5)2 = (√𝑥 + 12)2
(1 + √𝑥 + 5)2 = 𝑥 + 12
𝑥 + 5 + 2√𝑥 + 5 + 1 = 𝑥 + 12
𝑥 + 2√𝑥 + 5 = �...


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