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Sagot :

Answer:

1. x = ±2√2

2. x1 = 0 , x2 = 4

3. x1 = 0 , x2 = 14

4. x1 = 0 , x2 = 3

5. x1 = 0 , x2 = 15/7

Step-by-step explanation:

I.

1. x² - 8 = 0

x² = 8

√x² = √8

x = ±√2² × 2

x = ±2√2

2. 5x² - 20x = 0

5x² ÷ 5 - 20x ÷ 5 = 0 ÷ 5

x² - 4x = 0

x² - 4x + 4 = 0 + 4

(x - 2)² = 4

√(x - 2)² = √4

x - 2 = ±2

x - 2 = 2

x = 2 + 2

x = 4

x - 2 = - 2

x = -2 + 2

x = 0

3. x² = 14x

x² - 14x = 0

x² - 14x + 49 = 0 + 49

(x - 7)² = 49

√(x - 7)² = √49

x - 7 = ±7

x - 7 = 7

x = 7 + 7

x = 14

x - 7 = -7

x = -7 + 7

x = 0

4. 9x² - 27x = 0

9x² ÷ 9 - 27x ÷ 9 = 0 ÷ 9

x² - 3x = 0

x² - 3x + 9/4 = 0 + 9/4

(x - 3/2)² = 9/4

√(x - 3/2)² = √9/4

x - 3/2 = ±3/2

x - 3/2 = 3/2

x = 3/2 + 3/2

x = 6/2 ÷ 2/2

x = 3

x - 3/2 = -3/2

x = -3/2 + 3/2

x = 0

5. 7x² = 15x

7x² - 15x = 0

7x² ÷ 7 - 15x ÷ 7 = 0 ÷ 7

x² - 15/7x = 0

x² - 15/7x + 225/196 = 0 + 225/196

(x - 15/14)² = 225/196

√(x - 15/14)² = √225/196

x - 15/14 = ± 15/14

x - 15/14 = 15/14

x = 15/14 + 15/14

x = 30/14 ÷ 2/2

x = 15/7

x - 15/14 = -15/14

x = -15/14 + 15/14

x = 0