What is expand (-a+(-sqrt(a^2-4(2a-1))))/2 ?

The solution to expand (-a+(-sqrt(a^2-4(2a-1))))/2 is -a/2-(sqrt(a^2-8a+4))/2

Popular >

expand (-a+(-sqrt(a^2-4(2a-1))))/2

expand

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

- \frac{a}{2} - \frac{a ^{2} - 8 a + 4}{2}

Solution steps

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

Remove parentheses:

(- a) = - a

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

Expand

a^{2} - 4 (2 a - 1) : a^{2} - 8 a + 4

= \frac{- a - a ^{2} - 8 a + 4}{2}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{- a - a ^{2} - 8 a + 4}{2} = - \frac{a}{2} - \frac{a ^{2} - 8 a + 4}{2}

= - \frac{a}{2} - \frac{a ^{2} - 8 a + 4}{2}

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

\frac{1}{( x - 3 ) ( - 1 - z )}

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

\frac{5 ( a + h ) + 19 - 5 x + 19}{h}

\frac{x ( 1 + x ) + C}{x}

What is expand (-a+(-sqrt(a^2-4(2a-1))))/2 ?
The solution to expand (-a+(-sqrt(a^2-4(2a-1))))/2 is -a/2-(sqrt(a^2-8a+4))/2