Question

Solve the equation. 3 (x - 2)^2 - 8 = 5

Answer 1

Answer:

Step-by-step explanation:

3(x-2)(x-2)-8=5

3[x^2-4x+4]-8-5=0

3x^2-12x+12-13=0

3x^2-12x-1=0

use the quadratic formula to find x   {  -b+-sqrt(b^2-4ac) } / 2a

where a =3 , b=-12 and c =-1  from our equation above

{ -(-12)+- sqrt[ (-12)^2 - 4(3)(-1) ] } /  [2(3)]

{ 12 +-  sqrt [ 144 + 12 ] } / 6

{ 12 +-  sqrt (156) } / 6

2 +- {sqrt ( 4 *13) } / 6

2 +- { 2 sqrt (13) } /6

2 +- sqrt (13) /3    

there you go  :)