What are the solutions to the equation x^2+6x+20=0 ?

The solutions to the equation x^2+6x+20=0 are x=-3+sqrt(11)i,x=-3-sqrt(11)i

Find the zeros of x^2+6x+20=0

The zeros of x^2+6x+20=0 are x=-3+sqrt(11)i,x=-3-sqrt(11)i

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x^{2} + 6 x + 20 = 0

x = - 3 + 11 i, x = - 3 - 11 i

Solution steps

x^{2} + 6 x + 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot 20}{2 \cdot 1}

Simplify

6^{2} - 4 \cdot 1 \cdot 20 : 211 i

x_{1, 2} = \frac{- 6 \pm 2 11 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 6 + 2 11 i}{2 \cdot 1}, x_{2} = \frac{- 6 - 2 11 i}{2 \cdot 1}

x = \frac{- 6 + 2 11 i}{2 \cdot 1} : - 3 + 11 i

x = \frac{- 6 - 2 11 i}{2 \cdot 1} : - 3 - 11 i

The solutions to the quadratic equation are:

x = - 3 + 11 i, x = - 3 - 11 i

0 = x^{2} - 3 x - 10

(x + 2)^{2} = 2

2 x^{2} - 16 x - 1 = 0

7 x^{2} + 20 x + 23 = 0

6 x^{2} + 12 x - 90 = 0

What are the solutions to the equation x^2+6x+20=0 ?
The solutions to the equation x^2+6x+20=0 are x=-3+sqrt(11)i,x=-3-sqrt(11)i
Find the zeros of x^2+6x+20=0
The zeros of x^2+6x+20=0 are x=-3+sqrt(11)i,x=-3-sqrt(11)i