Quadratic Equation

Solve for X:

  

Answer:

+(4 – x2) = 4 – (x – 2)2 Or,  +(4 – x2) = 22 – (x – 2)2 Or,  +(4 – x2) = (2 – x + 2)(2 + x – 2) Or,  +(4 – x2) = (4 – x)( x) Or,   4 – x2  = 4x – x2 Or,   4x = 4 Or,  x = 1

-(4 – x2) = 4 – (x – 2)2 Or,  -(4 – x2) = 22 – (x – 2)2 Or,  -(4 – x2) = (2 – x + 2)(2 + x – 2) Or,  -4 + x2  = (4 – x)( x) Or,  - 4 + x2  = 4x – x2 Or,  2x2 – 4x – 4 = 0 Or, x2 – 2x – 2 = 0 Or, x2 – 2x + 1 – 3 = 0 Or, (x – 1)2 = 3 Or, x = 1 ± √3