What are the solutions to the equation x^2-18x+206=0 ?

The solutions to the equation x^2-18x+206=0 are x=9+5sqrt(5)i,x=9-5sqrt(5)i

Find the zeros of x^2-18x+206=0

The zeros of x^2-18x+206=0 are x=9+5sqrt(5)i,x=9-5sqrt(5)i

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x^{2} - 18 x + 206 = 0

x = 9 + 55 i, x = 9 - 55 i

Solution steps

x^{2} - 18 x + 206 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 18 ) \pm ( - 18 ) ^{2} - 4 \cdot 1 \cdot 206}{2 \cdot 1}

Simplify

(- 18)^{2} - 4 \cdot 1 \cdot 206 : 105 i

x_{1, 2} = \frac{- ( - 18 ) \pm 10 5 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 18 ) + 10 5 i}{2 \cdot 1}, x_{2} = \frac{- ( - 18 ) - 10 5 i}{2 \cdot 1}

x = \frac{- ( - 18 ) + 10 5 i}{2 \cdot 1} : 9 + 55 i

x = \frac{- ( - 18 ) - 10 5 i}{2 \cdot 1} : 9 - 55 i

The solutions to the quadratic equation are:

x = 9 + 55 i, x = 9 - 55 i

x^{2} + x + 0 = 0

10 - (x - 3)^{2} = - 90

20 x^{2} - x + 9 = 10

2 - (x - 3)^{2} = 0

- 2 x^{2} + 7 x + 4 = 0

What are the solutions to the equation x^2-18x+206=0 ?
The solutions to the equation x^2-18x+206=0 are x=9+5sqrt(5)i,x=9-5sqrt(5)i
Find the zeros of x^2-18x+206=0
The zeros of x^2-18x+206=0 are x=9+5sqrt(5)i,x=9-5sqrt(5)i