What are the solutions to the equation x^26=-x ?

The solutions to the equation x^26=-x are x=0,x=-1/6

Find the zeros of x^26=-x

The zeros of x^26=-x are x=0,x=-1/6

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x^{2} 6 = - x

x = 0, x = - \frac{1}{6}

Decimal Notation

x = 0, x = - 0.16666 \dots

Solution steps

x^{2} \cdot 6 = - x

Move

x

to the left side

x^{2} \cdot 6 + x = 0

Write in the standard form

a x^{2} + b x + c = 0

6 x^{2} + x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 6 \cdot 0}{2 \cdot 6}

1^{2} - 4 \cdot 6 \cdot 0 = 1

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

Separate the solutions

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

x = \frac{- 1 + 1}{2 \cdot 6} : 0

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

The solutions to the quadratic equation are:

x = 0, x = - \frac{1}{6}

x^{2} - 2 a x + 2 a = 0

4 x^{2} - 42 x + 48 = 0

x^{2} - 17 x + 18 = 0

y^{2} = - 2, 7 + 36 + 8 = 17

139.39 = - 4.9 t^{2} + 73.92 t

What are the solutions to the equation x^26=-x ?
The solutions to the equation x^26=-x are x=0,x=-1/6
Find the zeros of x^26=-x
The zeros of x^26=-x are x=0,x=-1/6