Halla la solucion de cada ecuacion?
Halla la solucion de cada ecuacion.
Halla la solucion de cada ecuacion.
En resumen
a) <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx-2%7D%7B5%7D%2B%5Cfrac%7Bx%7D%7B4%7D%3D%5Csqrt%7B2%7D" /> <img src="https://tex.z-dn.net/?
a)
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx-2%7D%7B5%7D%2B%5Cfrac%7Bx%7D%7B4%7D%3D%5Csqrt%7B2%7D" />
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx-2%7D%7B5%7D%5Ccdot%20%5C%3A20%2B%5Cfrac%7Bx%7D%7B4%7D%5Ccdot%20%5C%3A20%3D%5Csqrt%7B2%7D%5Ccdot%20%5C%3A20%0A%0A4%5Cleft%28x-2%5Cright%29%2B5x%3D20%5Csqrt%7B2%7D%0A%0A9x-8%3D20%5Csqrt%7B2%7D%0A%0A9x-8%2B8%3D20%5Csqrt%7B2%7D%2B8%0A%0A9x%3D20%5Csqrt%7B2%7D%2B8%0A%0A" />
<img src="https://tex.z-dn.net/?f=x%3D%5Cfrac%7B20%5Csqrt%7B2%7D%2B8%7D%7B9%7D" />
<img src="https://tex.z-dn.net/?f=x%3D4.03" />
b)
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx-2%7D%7B9%7D%2B%5Cfrac%7Bx-7%7D%7B3%7D%3D-4" />
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx-2%7D%7B9%7D%5Ccdot%20%5C%3A9%2B%5Cfrac%7Bx-7%7D%7B3%7D%5Ccdot%20%5C%3A9%3D-4%5Ccdot%20%5C%3A9" />
<img src="https://tex.z-dn.net/?f=x-2%2B3%5Cleft%28x-7%5Cright%29%3D-36%0A%0A4x-23%3D-36%0A%0A4x-23%2B23%3D-36%2B23%0A%0A4x%3D-13%0A%0A%0A" />
<img src="https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B13%7D%7B4%7D%0A%0Ax%3D-3.25" />
c)
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B2x-3%7D%7B4%7D%2B%5Cfrac%7B2x%2B3%7D%7B3%7D%3D-1" />
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B2x-3%7D%7B4%7D%5Ccdot%20%5C%3A12%2B%5Cfrac%7B2x%2B3%7D%7B3%7D%5Ccdot%20%5C%3A12%3D-1%5Ccdot%20%5C%3A12%0A%0A%0A3%5Cleft%282x-3%5Cright%29%2B4%5Cleft%282x%2B3%5Cright%29%3D-12%0A%0A14x%2B3%3D-12%0A%0A14x%2B3-3%3D-12-3%0A%0A14x%3D-15%0A%0A" />
[img = 10]
d)
[img = 11]
[img = 12]
[img = 13]
[img = 14]
[img = 15]
[img = 16]
[img = 17]
[img = 18]
e)
[img = 19]
[img = 20]
[img = 21]
[img = 22]
[img = 23]
[img = 24]
[img = 25]
[img = 26]
[img = 27].

La solución para cada ecuación son las siguientes : a.
X = (20√2 + 8) / 9 b.
X = - 13 / 4c.
X = 9 / 14d.
X = - 54 / 13e.
X = 0 Explicación : a.
(x - 2) / 5 + x / 4 = √2Agrupar términos semejantes ; 4(x - 2) + 5x / 20 = √2 multiplicar por 20 a ambos lados ; 20[4(x - 2) + 5x / 20] = 20√24(x - 2) + 5x = 20√2 Aplicar distributiva ; 4x - 8 + 5x = 20√2Factor común x ; x(4 + 5) = 20√2 + 89x = 20√2 + 8x = (20√2 + 8) / 9 b.
(x - 2) / 9 + (x - 7) / 3 = - 4Agrupar términos semejantes ; 3(x - 2) + 9(x - 7) / 27 = - 4multiplicar por 27 a ambos lados ; 27[3(x - 2) + 9(x - 7) / 27] = - 4(27)3(x - 2) + 9(x - 7) = - 108Aplicar distributiva ; 3x - 6 + 9x - 63 = - 108Factor común x ; x(3 + 9) = - 108 + 6 + 6312x = - 39x = - 39 / 12x = - 13 / 4 c.
(2x - 3) / 4 + (2x + 3) / 3 = - 1Agrupar términos semejantes ; 3(2x - 3) + 4(2x + 3) / 12 = - 1 multiplicar por 12 a ambos lados ; 12[3(2x - 3) + 4(2x + 3) / 12] = - 123(2x - 3) + 4(2x + 3) = - 12Aplicar distributiva ; 6x - 9 + 8x + 12 = - 12 Factor común x ; x(6 + 8) = - 12 + 12 + 9 14x = 9x = 9 / 14 d.
(x - 6) / 4 - (2x + 1) / 2 - 3 = x / 3 - 1 / 2Agrupar términos semejantes ; (x - 6) / 4 - (2x + 1) / 2 - x / 3 = - 1 / 2 + 3[6(x - 6) - 12(2x + 1) - 8x] / 24 = 5 / 2multiplicar por 24 a ambos lados ; 24[6(x - 6) - 12(2x + 1) - 8x] / 24 = 5 / 2(24)6(x - 6) - 12(2x + 1) - 8x = 60Aplicar distributiva ; 6x - 36 - 24x - 12 - 8x = 60 Factor común x ; x(6 - 24 - 8) = 60 + 36 + 12 - 26x = 108x = 108 / - 26x = - 54 / 13e.
(x - 1) / 6 - (3x + 2) / 3 + 1 = x / 12 + 1 / 6Agrupar términos semejantes ; (x - 1) / 6 - (3x + 2) / 3 - x / 12 = 1 / 6 - 1[36(x - 1) - 72(3x + 2) - 18x] / 216 = - 5 / 6multiplicar por 216 a ambos lados ; 216[36(x - 1) - 72(3x + 2) - 18x] / 216 = - 5 / 6(216)36(x - 1) - 72(3x + 2) - 18x = - 180 Aplicar distributiva ; 36x - 36 - 216x - 144 - 18x = - 180 Factor común x ; x(36 - 216 - 18) = - 180 + 144 + 36 - 198x = 0 x = 0 Puedes ver un ejercicio similar : brainly.
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