What are the solutions to the equation x(x+2)+2=0 ?

The solutions to the equation x(x+2)+2=0 are x=-1+i,x=-1-i

Find the zeros of x(x+2)+2=0

The zeros of x(x+2)+2=0 are x=-1+i,x=-1-i

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x (x + 2) + 2 = 0

x = - 1 + i, x = - 1 - i

Solution steps

x (x + 2) + 2 = 0

Expand

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

x^{2} + 2 x + 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 1 \cdot 2}{2 \cdot 1}

Simplify

2^{2} - 4 \cdot 1 \cdot 2 : 2 i

x_{1, 2} = \frac{- 2 \pm 2 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 2 + 2 i}{2 \cdot 1}, x_{2} = \frac{- 2 - 2 i}{2 \cdot 1}

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

x = \frac{- 2 - 2 i}{2 \cdot 1} : - 1 - i

The solutions to the quadratic equation are:

x = - 1 + i, x = - 1 - i

8 x^{2} - 7 x = 0

6 x^{2} + 3 x - 5 = 0

9 x^{2} + 10 = 12 x

x^{2} - 18 x - 2 = 0

2 x^{2} - 12 x + 23

What are the solutions to the equation x(x+2)+2=0 ?
The solutions to the equation x(x+2)+2=0 are x=-1+i,x=-1-i
Find the zeros of x(x+2)+2=0
The zeros of x(x+2)+2=0 are x=-1+i,x=-1-i