What are the solutions to the equation 0=x^2+6x+11 ?

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

Find the zeros of 0=x^2+6x+11

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

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0 = x^{2} + 6 x + 11

x = - 3 + 2 i, x = - 3 - 2 i

Solution steps

0 = x^{2} + 6 x + 11

Switch sides

x^{2} + 6 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot 11}{2 \cdot 1}

Simplify

6^{2} - 4 \cdot 1 \cdot 11 : 22 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = - 3 + 2 i, x = - 3 - 2 i

x^{2} - 15 x - 80 = 170

5 x^{2} - 3 x + 2 = 1

2 x^{2} - 20 x + 32 = 0

3 x^{2} - 10 x - 4 = 0

(2 x + 3) (x - 4) = 0

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