What is (sqrt(2))/2+(1-sqrt(2))/(-1) ?

The solution to (sqrt(2))/2+(1-sqrt(2))/(-1) is -(-3+sqrt(2))/(sqrt(2))

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simplify (sqrt(2))/2+(1-sqrt(2))/(-1)

simplify

\frac{2}{2} + \frac{1 - 2}{- 1}

- \frac{- 3 + 2}{2}

Decimal Notation

1.12132 \dots

Solution steps

\frac{2}{2} + \frac{1 - 2}{- 1}

Cancel

\frac{2}{2} : \frac{1}{2}

= \frac{1}{2} + \frac{1 - 2}{- 1}

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

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

Simplify

- 1 + (1 - 2) 2 : - 3 + 2

= \frac{- 3 + 2}{- 2}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{- 3 + 2}{2}

- 25 a^{2} + 185 a - 70

\frac{1}{4} x - \frac{1}{5} x + \frac{1}{20} x = 4

4 - c = 5

\frac{3}{4} = \frac{x}{20}

\frac{1}{25}

What is (sqrt(2))/2+(1-sqrt(2))/(-1) ?
The solution to (sqrt(2))/2+(1-sqrt(2))/(-1) is -(-3+sqrt(2))/(sqrt(2))