Question

solución a las siguientes ecuaciones cuadráticas :

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Answer 1

Explicación paso a paso:

1.

x² - 10x + 9 = 0

(x-9)(x-1) = 0

x = 9 ^ x = 1

2.

2x² = 19x + 33

2x² - 19x - 33 = 0

(2x+3)(x-11) = 0

2x + 3 = 0

x = -3/2

x - 11 = 0

x = 11

3.

9x² = 25

9x² - 25 = 0

(3x+5)(3x-5) = 0

3x + 5 = 0

x = -5/3

3x - 5 = 0

x = 5/3

4.

(x-5)² = 20

x² - 10x + 25 = 20

x² - 10x + 5 = 0

x1,2 = (-(-10) ± √100-20)/2

x1,2 = (10±√80)/2

x1,2 = 5 ± 2√5

5.

x² + 8x + 14 = 0

x1,2 = (-1 ± √64-56)/2

x1,2 = -1/2 ± √2