distance (0,0),(x,0) — step-by-step solution

The distance is the norm of the difference of the points: the square root of the sum of the squared coordinate differences

Let's evaluate:

‖ (x, 0) - (0, 0) ‖

ⅰ

(x, 0) - (0, 0)

(x, 0)

‖ (x, 0) ‖

ⅰ

‖ (x, 0) ‖

\sqrt{x^{2} + 0^{2}}

\sqrt{x^{2} + 0^{2}}

ⓘ Adding 0 changes nothing:

x^{2} + 0

x^{2}

■The square root of a square is the absolute value:

\sqrt{x^{2}}

| x |

▶Distance:

| x |