285jwcc97a 285jwcc97a
  • 26-04-2021
  • Mathematics
contestada

Solve the following quadratic equation for all values of x in simplest form.
3(4x + 1)2 – 37 = 5

Respuesta :

altavistard
altavistard altavistard
  • 27-04-2021

Answer:

Step-by-step explanation:

Add 37 to both sides (to combine like terms):

3(4x + 1)^2 = 42

Reduce this by dividing both sides by 3:

(4x + 1)^2 = 14

Taking the square root of both sides results in:

4x + 1 = ± √14, or

4x = -1 ± √14

Solve for x by dividing both sides by 4:

       -1 ± √14

x = ----------------

              4

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