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

The solutions to the equation x^2+x+2=0 are x=-1/2+i(sqrt(7))/2 ,x=-1/2-i(sqrt(7))/2

Find the zeros of x^2+x+2=0

The zeros of x^2+x+2=0 are x=-1/2+i(sqrt(7))/2 ,x=-1/2-i(sqrt(7))/2

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x^{2} + x + 2 = 0

x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

Solution steps

x^{2} + x + 2 = 0

Solve with the quadratic formula

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

Simplify

1^{2} - 4 \cdot 1 \cdot 2 : 7 i

x_{1, 2} = \frac{- 1 \pm 7 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 1 + 7 i}{2 \cdot 1}, x_{2} = \frac{- 1 - 7 i}{2 \cdot 1}

x = \frac{- 1 + 7 i}{2 \cdot 1} : - \frac{1}{2} + i \frac{7}{2}

x = \frac{- 1 - 7 i}{2 \cdot 1} : - \frac{1}{2} - i \frac{7}{2}

The solutions to the quadratic equation are:

x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

(81)^{- \frac{3}{4}}

48

8 a = 32

- \frac{3}{4} < - \frac{3}{8} m

\frac{a + 3}{8} \cdot \frac{2}{a}

What are the solutions to the equation x^2+x+2=0 ?
The solutions to the equation x^2+x+2=0 are x=-1/2+i(sqrt(7))/2 ,x=-1/2-i(sqrt(7))/2
Find the zeros of x^2+x+2=0
The zeros of x^2+x+2=0 are x=-1/2+i(sqrt(7))/2 ,x=-1/2-i(sqrt(7))/2