What is factor (x-4)^2-1/2 ?

The solution to factor (x-4)^2-1/2 is (x-4+sqrt(1/2))(x-4-sqrt(1/2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (x-4)^2-1/2

factor

(x - 4)^{2} - \frac{1}{2}

(x - 4 + \frac{1}{2}) (x - 4 - \frac{1}{2})

Solution steps

(x - 4)^{2} - \frac{1}{2}

Apply radical rule:

a = (a)^{2}

\frac{1}{2} = (\frac{1}{2})^{2}

= (x - 4)^{2} - (\frac{1}{2})^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(x - 4)^{2} - (\frac{1}{2})^{2} = ((x - 4) + \frac{1}{2}) ((x - 4) - \frac{1}{2})

= ((x - 4) + \frac{1}{2}) ((x - 4) - \frac{1}{2})

Refine

= (x + \frac{1}{2} - 4) (x - 4 - \frac{1}{2})

x^{2} = \frac{1}{8}

t^{2} - \frac{64}{121} = 0

2^{k} \geq 36

n^{2} + 16 n + 63

- 140 < 10 x

What is factor (x-4)^2-1/2 ?
The solution to factor (x-4)^2-1/2 is (x-4+sqrt(1/2))(x-4-sqrt(1/2))