What are the solutions to the equation x^2+3x+13=0 ?

The solutions to the equation x^2+3x+13=0 are x=-3/2+i(sqrt(43))/2 ,x=-3/2-i(sqrt(43))/2

Find the zeros of x^2+3x+13=0

The zeros of x^2+3x+13=0 are x=-3/2+i(sqrt(43))/2 ,x=-3/2-i(sqrt(43))/2

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x^{2} + 3 x + 13 = 0

x = - \frac{3}{2} + i \frac{43}{2}, x = - \frac{3}{2} - i \frac{43}{2}

Solution steps

x^{2} + 3 x + 13 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 1 \cdot 13}{2 \cdot 1}

Simplify

3^{2} - 4 \cdot 1 \cdot 13 : 43 i

x_{1, 2} = \frac{- 3 \pm 43 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 3 + 43 i}{2 \cdot 1}, x_{2} = \frac{- 3 - 43 i}{2 \cdot 1}

x = \frac{- 3 + 43 i}{2 \cdot 1} : - \frac{3}{2} + i \frac{43}{2}

x = \frac{- 3 - 43 i}{2 \cdot 1} : - \frac{3}{2} - i \frac{43}{2}

The solutions to the quadratic equation are:

x = - \frac{3}{2} + i \frac{43}{2}, x = - \frac{3}{2} - i \frac{43}{2}

2 q^{2} + 6 q - 7 = 0

x, f = x^{2} f + g

2 (4 x + 3)^{2} - 46 = - 12

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

x^{2} - 15 = 1

What are the solutions to the equation x^2+3x+13=0 ?
The solutions to the equation x^2+3x+13=0 are x=-3/2+i(sqrt(43))/2 ,x=-3/2-i(sqrt(43))/2
Find the zeros of x^2+3x+13=0
The zeros of x^2+3x+13=0 are x=-3/2+i(sqrt(43))/2 ,x=-3/2-i(sqrt(43))/2