What are the solutions to the equation completesquare-2(x+x^2)=3 ?

The solutions to the equation completesquare-2(x+x^2)=3 are x=-1/2+i(sqrt(5))/2 ,x=-1/2-i(sqrt(5))/2

Find the zeros of completesquare-2(x+x^2)=3

The zeros of completesquare-2(x+x^2)=3 are x=-1/2+i(sqrt(5))/2 ,x=-1/2-i(sqrt(5))/2

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- 2 (x + x^{2}) = 3

x = - \frac{1}{2} + i \frac{5}{2}, x = - \frac{1}{2} - i \frac{5}{2}

Solution steps

- 2 (x + x^{2}) = 3

Expand

- 2 (x + x^{2}) : - 2 x - 2 x^{2}

- 2 x - 2 x^{2} = 3

Divide both sides by

- 2

\frac{- 2 x - 2 x ^{2}}{- 2} = \frac{3}{- 2}

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

Rewrite in the form

(x + a)^{2} = b

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

For

the solutions are

f (x) = a, - a

Solve

x + \frac{1}{2} = - \frac{5}{4} : x = - \frac{1}{2} + i \frac{5}{2}

Solve

x + \frac{1}{2} = - - \frac{5}{4} : x = - \frac{1}{2} - i \frac{5}{2}

The solutions to the quadratic equation are:

x = - \frac{1}{2} + i \frac{5}{2}, x = - \frac{1}{2} - i \frac{5}{2}

2 n^{2} + 36 = - 18 n

- 2 n^{2} + 2 n + 53 = - 7

2 x^{2} + 4 x + 6

3 x^{2} = - 8 x - 4

x^{2} + 7 = 18

What are the solutions to the equation completesquare-2(x+x^2)=3 ?
The solutions to the equation completesquare-2(x+x^2)=3 are x=-1/2+i(sqrt(5))/2 ,x=-1/2-i(sqrt(5))/2
Find the zeros of completesquare-2(x+x^2)=3
The zeros of completesquare-2(x+x^2)=3 are x=-1/2+i(sqrt(5))/2 ,x=-1/2-i(sqrt(5))/2