Question

Solve the equation: x^2 - 2x + 1 = 3.

Answer 1

i don't understand. my teacher says there should be a square root in the problem

Answer 2

its 1 plus or minus something...

Answer 3

\[x^2-2x-2=0\]

Answer 4

Use the quadratic formula since this will not factor.

Answer 5

\[x=\frac{2\pm \sqrt{4-4(1)(-2)}}{2}=\frac{2\pm \sqrt{12}}{2}=\frac{2\pm2\sqrt{3}}{2}=1\pm \sqrt{3}\]