What are the solutions to the equation x^2+14x+55=0 ?

The solutions to the equation x^2+14x+55=0 are x=-7+sqrt(6)i,x=-7-sqrt(6)i

Find the zeros of x^2+14x+55=0

The zeros of x^2+14x+55=0 are x=-7+sqrt(6)i,x=-7-sqrt(6)i

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x^{2} + 14 x + 55 = 0

x = - 7 + 6 i, x = - 7 - 6 i

Solution steps

x^{2} + 14 x + 55 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 1 \cdot 55}{2 \cdot 1}

Simplify

1 4^{2} - 4 \cdot 1 \cdot 55 : 26 i

x_{1, 2} = \frac{- 14 \pm 2 6 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 14 + 2 6 i}{2 \cdot 1}, x_{2} = \frac{- 14 - 2 6 i}{2 \cdot 1}

x = \frac{- 14 + 2 6 i}{2 \cdot 1} : - 7 + 6 i

x = \frac{- 14 - 2 6 i}{2 \cdot 1} : - 7 - 6 i

The solutions to the quadratic equation are:

x = - 7 + 6 i, x = - 7 - 6 i

9 x^{2} - 25 = 0

1681

\frac{1}{4} (4 r - 1) \geq 2 r + \frac{1}{8}

\frac{i}{1 + i}

1^{- 3}

What are the solutions to the equation x^2+14x+55=0 ?
The solutions to the equation x^2+14x+55=0 are x=-7+sqrt(6)i,x=-7-sqrt(6)i
Find the zeros of x^2+14x+55=0
The zeros of x^2+14x+55=0 are x=-7+sqrt(6)i,x=-7-sqrt(6)i