Question 694339
x^2 - 4x = 14 

Step 1: Subtract 14 on both sides of the the equation to set the equation = to 0

x^2 - 4x - 14 = 0

Step 2: Use quadratic formula to solve the equation

{{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}

where a = 1, b = -4, c = -14

x = (-(-4)+- sqrt(b^2-4ac))/2a

x = 4 +- sqrt(-4^2-4(1)(-14))/2(1)

x = 4 +- sqrt(16+56)/2

x = 4 +- sqrt(72)/2

x = 4 +- (6 sqrt 2) /2
  = 4/2 + (6 sqrt 2)/2             
  =   2 +  3 sqrt 2 
               
x = 4 - (6 sqrt 2) /2
  = 4/2 - (6 sqrt 2)/2  
  =  2 - 3 sqrt 2