Question

A) ----------------|
\/ (x+8).(x+3) = 6

Answer 1

[  _______________  ]²                2
[√(x + 8).(x + 3)         ]    =    ( 6 )

(x + 8).(x + 3) = 36
x² + 3x + 8x + 24 = 36
x² + 11x + 24 - 36 = 0
x² + 11x - 12 = 0

a = 1; b = 11; c = - 12

Δ = b² - 4ac
Δ = 11² - 4.1.(-12)
Δ = 121 + 48
Δ = 169

x = - b +/- √Δ        - 11 +/- √169
      --------------  =  ------------------
           2a                     2.1

x = - 11 + 13
      ------------  =  2/2 = 1
            2

x = - 11 - 13
      -------------  =  - 24/2 = - 12
            2

x = 1
  ___________
√(1 + 8).(1 + 3) = 6
√9.4 = 6
√36 = 6
6 = 6

x = - 12
  _______________
√(-12 + 8).(- 12 + 3) = 6
  _____
√-4.(-9) = 6
√36 = 6
6 = 6

R.: x = 1 e x = - 12