Question

x^(2)+2 \sqrt( 2)x + 1 find the roots

Answer 1

Answer:

The roots are $-\sqrt 2-1,-\sqrt 2+1$

Step-by-step explanation:

Given quadratic, $x^2+2\sqrt 2x+1=0$

Now using quadratic formula $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

The roots are

$x=\frac{-2\sqrt 2\pm \sqrt{(2\sqrt 2)^2-4(1)(1)}}{2(1)}=\frac{-2\sqrt 2\pm \sqrt {8-4}}{2}$

    $=\frac{-2\sqrt 2\pm 2}{2}=-\sqrt 2\pm 1$