Question

10 ejercicios de Trinomio cubo perfecto

Answer 1

Explicación paso a paso:

1. x² + 2x - 15 = 0

(x² + 2x) - 15 = 0

(x² + 2x + 1 - 1) - 15 = 0

(x + 1)² - 1 - 15 = 0

(x + 1)² = 16

 

2. x² - 8x + 11 = 0

(x² - 8x + 16 - 16) + 11 = 0

(x - 4)² - 5 = 0

(x - 4)² = 5

 

3. 3x² + 8x + 5

3 × [(x² + 8x/3) + 5/3]

3 × [(x² + 8x/3 + 16/9 - 16/9) + 5/3]

3 × [(x + 4/3)² - 16/9 + 5/3]

3(x + 4/3)² - 1/3

 

4. x - y² + 8y = 0

x = y² - 8y

x = y² - 8y + 16 - 16

x = (y - 4)² - 16

 

5. x² + 6x

x² + 6x + 9 - 9

(x + 3)² - 9

 

6. x² - 8x + 10

x² - 8x + 16 - 16 + 10

(x - 4)² - 6

 

7. x² - 16x

x² - 16x + 64 - 64

(x - 8)² - 64

 

8. x² - 3x

x² - 3x + 9/4 - 9/4

(x - 3/2)² - 9/4

 

9. x² - 10x + 1

x² - 10x + 25 - 25 + 1

(x - 5)² - 24

 

10. 5x² + 10x

5 · (x² + 2x + 1 - 1)

5 · (x + 1)² - 5