What are the solutions to the equation x(x+2)+(x+3)^2=0 ?

The solutions to the equation x(x+2)+(x+3)^2=0 are x=-2+i(sqrt(2))/2 ,x=-2-i(sqrt(2))/2

Find the zeros of x(x+2)+(x+3)^2=0

The zeros of x(x+2)+(x+3)^2=0 are x=-2+i(sqrt(2))/2 ,x=-2-i(sqrt(2))/2

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x (x + 2) + (x + 3)^{2} = 0

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

Solution steps

x (x + 2) + (x + 3)^{2} = 0

Expand

x (x + 2) + (x + 3)^{2} : 2 x^{2} + 8 x + 9

2 x^{2} + 8 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 2 \cdot 9}{2 \cdot 2}

Simplify

8^{2} - 4 \cdot 2 \cdot 9 : 22 i

x_{1, 2} = \frac{- 8 \pm 2 2 i}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- 8 + 2 2 i}{2 \cdot 2}, x_{2} = \frac{- 8 - 2 2 i}{2 \cdot 2}

x = \frac{- 8 + 2 2 i}{2 \cdot 2} : - 2 + i \frac{2}{2}

x = \frac{- 8 - 2 2 i}{2 \cdot 2} : - 2 - i \frac{2}{2}

The solutions to the quadratic equation are:

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

3 x^{2} + 12 x + 11 = 0

3 x^{2} + 13 = - 12 x

x, x^{2} - x y + y^{2} = 9

x^{2} - 22 x - 14 = 0

0 = x^{2} - 12 x + 36

What are the solutions to the equation x(x+2)+(x+3)^2=0 ?
The solutions to the equation x(x+2)+(x+3)^2=0 are x=-2+i(sqrt(2))/2 ,x=-2-i(sqrt(2))/2
Find the zeros of x(x+2)+(x+3)^2=0
The zeros of x(x+2)+(x+3)^2=0 are x=-2+i(sqrt(2))/2 ,x=-2-i(sqrt(2))/2