What are the solutions to the equation x^2+6x=-201 ?

The solutions to the equation x^2+6x=-201 are x=-3+8sqrt(3)i,x=-3-8sqrt(3)i

Find the zeros of x^2+6x=-201

The zeros of x^2+6x=-201 are x=-3+8sqrt(3)i,x=-3-8sqrt(3)i

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x^{2} + 6 x = - 201

x = - 3 + 83 i, x = - 3 - 83 i

Solution steps

x^{2} + 6 x = - 201

Move

201

to the left side

x^{2} + 6 x + 201 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot 201}{2 \cdot 1}

Simplify

6^{2} - 4 \cdot 1 \cdot 201 : 163 i

x_{1, 2} = \frac{- 6 \pm 16 3 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 6 + 16 3 i}{2 \cdot 1}, x_{2} = \frac{- 6 - 16 3 i}{2 \cdot 1}

x = \frac{- 6 + 16 3 i}{2 \cdot 1} : - 3 + 83 i

x = \frac{- 6 - 16 3 i}{2 \cdot 1} : - 3 - 83 i

The solutions to the quadratic equation are:

x = - 3 + 83 i, x = - 3 - 83 i

x^{2} - x + 18 = - 8 x + 8

x^{2} - 13 x + 1 = - 9 x + 6

Q (Q + 3) = 5 Q + 3

x^{2} + 6 x + 5 = 0

2 x^{2} + 8 x + 2

What are the solutions to the equation x^2+6x=-201 ?
The solutions to the equation x^2+6x=-201 are x=-3+8sqrt(3)i,x=-3-8sqrt(3)i
Find the zeros of x^2+6x=-201
The zeros of x^2+6x=-201 are x=-3+8sqrt(3)i,x=-3-8sqrt(3)i