What is expand sqrt((x-2)^2+(x-1/2)^2) ?

The solution to expand sqrt((x-2)^2+(x-1/2)^2) is (sqrt(8x^2-20x+17))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand sqrt((x-2)^2+(x-1/2)^2)

expand

(x - 2)^{2} + (x - \frac{1}{2})^{2}

\frac{8 x ^{2} - 20 x + 17}{2}

Solution steps

(x - 2)^{2} + (x - \frac{1}{2})^{2}

Expand

(x - 2)^{2} + (x - \frac{1}{2})^{2} : 2 x^{2} - 5 x + \frac{17}{4}

= 2 x^{2} - 5 x + \frac{17}{4}

Join

2 x^{2} - 5 x + \frac{17}{4} : \frac{8 x ^{2} - 20 x + 17}{4}

= \frac{8 x ^{2} - 20 x + 17}{4}

Apply radical rule:

assuming

a \geq 0, b \geq 0

= \frac{8 x ^{2} - 20 x + 17}{4}

4 = 2

= \frac{8 x ^{2} - 20 x + 17}{2}

\frac{( ( - 1 ) ^{n} - 1 )}{2}

\frac{( x - 2 ) ( x + 1 )}{x ( x + 3 )}

\frac{x + 1 - e ^{- x}}{e ^{- x} ( x + 1 )}

e^{x} (1 - e^{x}) (1 + e^{x})^{10}

2 x e^{x} (x^{2} + e^{x})

What is expand sqrt((x-2)^2+(x-1/2)^2) ?
The solution to expand sqrt((x-2)^2+(x-1/2)^2) is (sqrt(8x^2-20x+17))/2