What is (1-a-sqrt((-1+a)^2-4b))/2-3 ?

The solution to (1-a-sqrt((-1+a)^2-4b))/2-3 is (-5-a-sqrt((-1+a)^2-4b))/2

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simplify (1-a-sqrt((-1+a)^2-4b))/2-3

simplify

\frac{1 - a - ( - 1 + a ) ^{2} - 4 b}{2} - 3

\frac{- 5 - a - ( - 1 + a ) ^{2} - 4 b}{2}

Solution steps

\frac{1 - a - ( - 1 + a ) ^{2} - 4 b}{2} - 3

Apply the fraction rule:

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

= \frac{- 3 \cdot 2 + 1 - a - ( - 1 + a ) ^{2} - 4 b}{2}

Multiply the numbers:

3 \cdot 2 = 6

= \frac{- 6 + 1 - a - ( - 1 + a ) ^{2} - 4 b}{2}

Add the numbers:

- 6 + 1 = - 5

= \frac{- 5 - a - ( - 1 + a ) ^{2} - 4 b}{2}

(r + s)^{2}

- 2 \cdot (x + d x)^{2}

(3 x + 2 y + 4) d x + (3 x + 2 y - 3) d y

(x^{2} - 5 x)^{2}

e^{α \cdot t} ((a cosh (β \cdot t)) + (b + c \cdot t) sinh (β \cdot t))

What is (1-a-sqrt((-1+a)^2-4b))/2-3 ?
The solution to (1-a-sqrt((-1+a)^2-4b))/2-3 is (-5-a-sqrt((-1+a)^2-4b))/2