Question

The roots of x 2 - 2x - 2 = 0 are 1±√3 1±√12 no real roots

Answer 1

1±√5

Explanation:

`\bf x^2-2x-2=0\Rightarrow x=\displaystyle(-(-2)\pm√((-2)^2-4*2*(-2)))/(2)\Rightarrow\\\\\Rightarrow x=\displaystyle(2\pm√(4+16))/(2)=\displaystyle(2\pm√(20))/(2)=\displaystyle(2\pm2√(5))/(2)\Rightarrow\\\\\Rightarrow \boxed{x=1\pm√(5)}`