What are the solutions to the equation x^2+6x+45=0 ?

The solutions to the equation x^2+6x+45=0 are x=-3+6i,x=-3-6i

Find the zeros of x^2+6x+45=0

The zeros of x^2+6x+45=0 are x=-3+6i,x=-3-6i

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x^{2} + 6 x + 45 = 0

x = - 3 + 6 i, x = - 3 - 6 i

Solution steps

x^{2} + 6 x + 45 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot 45}{2 \cdot 1}

Simplify

6^{2} - 4 \cdot 1 \cdot 45 : 12 i

x_{1, 2} = \frac{- 6 \pm 12 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 6 + 12 i}{2 \cdot 1}, x_{2} = \frac{- 6 - 12 i}{2 \cdot 1}

x = \frac{- 6 + 12 i}{2 \cdot 1} : - 3 + 6 i

x = \frac{- 6 - 12 i}{2 \cdot 1} : - 3 - 6 i

The solutions to the quadratic equation are:

x = - 3 + 6 i, x = - 3 - 6 i

- 3 x + 0 = - 4

2 x + 1 = 1

x^{2} + 2 x + 7 x + 14

What are the solutions to the equation x^2+6x+45=0 ?
The solutions to the equation x^2+6x+45=0 are x=-3+6i,x=-3-6i
Find the zeros of x^2+6x+45=0
The zeros of x^2+6x+45=0 are x=-3+6i,x=-3-6i