What are the solutions to the equation x^2+6x+55=0 ?

The solutions to the equation x^2+6x+55=0 are x=-3+sqrt(46)i,x=-3-sqrt(46)i

Find the zeros of x^2+6x+55=0

The zeros of x^2+6x+55=0 are x=-3+sqrt(46)i,x=-3-sqrt(46)i

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x^{2} + 6 x + 55 = 0

x = - 3 + 46 i, x = - 3 - 46 i

Solution steps

x^{2} + 6 x + 55 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot 55}{2 \cdot 1}

Simplify

6^{2} - 4 \cdot 1 \cdot 55 : 246 i

x_{1, 2} = \frac{- 6 \pm 2 46 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 6 + 2 46 i}{2 \cdot 1}, x_{2} = \frac{- 6 - 2 46 i}{2 \cdot 1}

x = \frac{- 6 + 2 46 i}{2 \cdot 1} : - 3 + 46 i

x = \frac{- 6 - 2 46 i}{2 \cdot 1} : - 3 - 46 i

The solutions to the quadratic equation are:

x = - 3 + 46 i, x = - 3 - 46 i

0 = 3 x^{2} + 4 x - 20

4 x^{2} = 4 (x + 2)

x, x^{2} - x - 12 = 0

z, x^{2} + y^{2} + z^{2} = 1

2 (1 - y^{2}) + y + 1 = 0

What are the solutions to the equation x^2+6x+55=0 ?
The solutions to the equation x^2+6x+55=0 are x=-3+sqrt(46)i,x=-3-sqrt(46)i
Find the zeros of x^2+6x+55=0
The zeros of x^2+6x+55=0 are x=-3+sqrt(46)i,x=-3-sqrt(46)i