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ShreedharJagtap

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Answer:

See below

Step-by-step explanation:

a)

  • 11x^2 + x^2 = (4x + 8)(3x - 3)
  • 12x^2 = 12x^2 + 24x - 12x - 24
  • 12x - 24 = 0
  • 12x = 24
  • x = 2

b)

  • x/3 - x/9 = 6
  • 3x/9 - x/9 = 6
  • 2x/9 = 6
  • 2x = 54
  • x = 27

c)

  • 6^(x + 9) = 36^x
  • 6^(x + 9) = 6^(2x)
  • x + 9 = 2x
  • 2x - x = 9
  • x = 9

d)

  • 4/9 + 1/a = 2/3
  • 1/a = 2/3 - 4/9
  • 1/a = 6/9 - 4/9
  • 1/a = 2/9
  • a = 9/2

e)

  • √x + 3 = 6
  • x + 3 = 6^2
  • x = 36 - 3
  • x = 33

f)

1.2m - 0.2 = 3.8 + m

  • 1.2m - m = 3.8 + 0.2
  • 0.2m = 4
  • m = 4/0.2
  • m = 20

g)

  • (x + 12)^2 = 9
  • x + 12 = ± 3
  • x = ± 3 - 12
  • x = - 9, x = - 15

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