What are the solutions to the equation x^2+10x+33=0 ?

The solutions to the equation x^2+10x+33=0 are x=-5+2sqrt(2)i,x=-5-2sqrt(2)i

Find the zeros of x^2+10x+33=0

The zeros of x^2+10x+33=0 are x=-5+2sqrt(2)i,x=-5-2sqrt(2)i

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x^{2} + 10 x + 33 = 0

x = - 5 + 22 i, x = - 5 - 22 i

Solution steps

x^{2} + 10 x + 33 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 1 \cdot 33}{2 \cdot 1}

Simplify

1 0^{2} - 4 \cdot 1 \cdot 33 : 42 i

x_{1, 2} = \frac{- 10 \pm 4 2 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 10 + 4 2 i}{2 \cdot 1}, x_{2} = \frac{- 10 - 4 2 i}{2 \cdot 1}

x = \frac{- 10 + 4 2 i}{2 \cdot 1} : - 5 + 22 i

x = \frac{- 10 - 4 2 i}{2 \cdot 1} : - 5 - 22 i

The solutions to the quadratic equation are:

x = - 5 + 22 i, x = - 5 - 22 i

x (x + 5) - 3 = 2 x (x - 6)

15 x^{2} = 40 (x + 2)

12 x = 13 - x^{2}

6 k^{2} + 12 k - 15 = - 10

x, x^{2} = k y^{3}

What are the solutions to the equation x^2+10x+33=0 ?
The solutions to the equation x^2+10x+33=0 are x=-5+2sqrt(2)i,x=-5-2sqrt(2)i
Find the zeros of x^2+10x+33=0
The zeros of x^2+10x+33=0 are x=-5+2sqrt(2)i,x=-5-2sqrt(2)i