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}

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

30 x - 0.1 x^{2} = 1440

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

x, y^{4} + 3 y - 4 x^{2} = 5 x + 1

35 x^{2} + 31 x + 5 = 0

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