What are the solutions to the equation x^2+3x+54=0 ?

The solutions to the equation x^2+3x+54=0 are x=-3/2+i(3sqrt(23))/2 ,x=-3/2-i(3sqrt(23))/2

Find the zeros of x^2+3x+54=0

The zeros of x^2+3x+54=0 are x=-3/2+i(3sqrt(23))/2 ,x=-3/2-i(3sqrt(23))/2

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x^{2} + 3 x + 54 = 0

x = - \frac{3}{2} + i \frac{3 23}{2}, x = - \frac{3}{2} - i \frac{3 23}{2}

Solution steps

x^{2} + 3 x + 54 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 1 \cdot 54}{2 \cdot 1}

Simplify

3^{2} - 4 \cdot 1 \cdot 54 : 323 i

x_{1, 2} = \frac{- 3 \pm 3 23 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 3 + 3 23 i}{2 \cdot 1}, x_{2} = \frac{- 3 - 3 23 i}{2 \cdot 1}

x = \frac{- 3 + 3 23 i}{2 \cdot 1} : - \frac{3}{2} + i \frac{3 23}{2}

x = \frac{- 3 - 3 23 i}{2 \cdot 1} : - \frac{3}{2} - i \frac{3 23}{2}

The solutions to the quadratic equation are:

x = - \frac{3}{2} + i \frac{3 23}{2}, x = - \frac{3}{2} - i \frac{3 23}{2}

3 x^{2} - x + 10 = 8

2 x^{2} - 20 = 12

x^{2} + 8 x + 12 = 0

2 x = (lo g_{10} (3)) x^{2}

x^{2} - 3 x = x

What are the solutions to the equation x^2+3x+54=0 ?
The solutions to the equation x^2+3x+54=0 are x=-3/2+i(3sqrt(23))/2 ,x=-3/2-i(3sqrt(23))/2
Find the zeros of x^2+3x+54=0
The zeros of x^2+3x+54=0 are x=-3/2+i(3sqrt(23))/2 ,x=-3/2-i(3sqrt(23))/2