Matemáticas


Ecuaciones con radicales


Resolver las ecuaciones con radicales:

1) x +" X - 4 = 4

( " x - 4 ) ² = ( 4 - x ) ²

x - 4 = x² - 8x + 16

0 = x² - 9x + 20

(x - 4) (x - 5)

x - 4 = 0 x - 5= 0

x = 5no

2) " 2x + 3 - " x - 2 = 2

" 2x + 3 = 2 " x - 2

(" 2x + 3) ² = ( 2 " x - 2) ²

2x + 3 = 4 + 4 " x - 2 + x - 2

2x + 3 - 4 - x + 2 = 4 " x - 2

(x - 1) ² = (4 " x - 2) ²

x² + x + 1 = 16 ( x - 2)

x² + x + 1 = 16x - 32

x² - 15x + 33 = 0

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

x - 11= 0 x - 3 = 0

  • x - 5 = " x - 3

  • (x - 5) ² = (" x - 3) ²

    x ² - 10x + 25 = x - 3

    x ² - 11x + 28 = 0

    (x - 7) (x - 4) = 0

    x = 4 no

  • "2x + 5 + "x + 2 = 5

  • ("2x +5) ² = (10 - "x + 2) ²

    2x + 5 = 10 "x + 2 + x + 27

    ( x - 22) ² = (10 "x + 2) ²

    x² - 44x + 484 = 100 ( x + 2)

    x² - 44x + 484 = 100x + 200

    x² - 44x + 484- 100x - 200 = 0

    x - 144x + 284 = 0

    ( x - 142) ( x - 2) = 0

    x - 142=0 x - 2 = 0

    x = 142 no

    x = 4

    x = 11

    x = 3

    x = 7

    x = 2




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    Enviado por:Green Kitten
    Idioma: castellano
    País: Puerto Rico

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