What are the solutions to the equation x^2+6x+21=0 ?

The solutions to the equation x^2+6x+21=0 are x=-3+2sqrt(3)i,x=-3-2sqrt(3)i

Find the zeros of x^2+6x+21=0

The zeros of x^2+6x+21=0 are x=-3+2sqrt(3)i,x=-3-2sqrt(3)i

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x^{2} + 6 x + 21 = 0

x = - 3 + 23 i, x = - 3 - 23 i

Solution steps

x^{2} + 6 x + 21 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot 21}{2 \cdot 1}

Simplify

6^{2} - 4 \cdot 1 \cdot 21 : 43 i

x_{1, 2} = \frac{- 6 \pm 4 3 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 6 + 4 3 i}{2 \cdot 1}, x_{2} = \frac{- 6 - 4 3 i}{2 \cdot 1}

x = \frac{- 6 + 4 3 i}{2 \cdot 1} : - 3 + 23 i

x = \frac{- 6 - 4 3 i}{2 \cdot 1} : - 3 - 23 i

The solutions to the quadratic equation are:

x = - 3 + 23 i, x = - 3 - 23 i

x^{2} = 7 (\frac{4}{5} x - 10)

1 5^{2} + 2 0^{2} = c^{2}

x^{2} - 12 x + 19 = 0

4 x + x^{2} + 16 = - 4 x^{2}

x^{2} - 3.2 x + 1.35 = 0

What are the solutions to the equation x^2+6x+21=0 ?
The solutions to the equation x^2+6x+21=0 are x=-3+2sqrt(3)i,x=-3-2sqrt(3)i
Find the zeros of x^2+6x+21=0
The zeros of x^2+6x+21=0 are x=-3+2sqrt(3)i,x=-3-2sqrt(3)i