What are the solutions to the equation -24x^{120}=-x ?

The solutions to the equation -24x^{120}=-x are x=0,x= 1/(\sqrt[119]{24)}

Find the zeros of -24x^{120}=-x

The zeros of -24x^{120}=-x are x=0,x= 1/(\sqrt[119]{24)}

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- 24 x^{120} = - x

x = 0, x = \frac{1}{119 24}

Decimal

x = 0, x = 0.97364 \dots

Solution steps

- 24 x^{120} = - x

Move

x

to the left side

- 24 x^{120} + x = 0

Factor

- 24 x^{120} + x : - x (24 x^{119} - 1)

- x (24 x^{119} - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 24 x^{119} - 1 = 0

Solve

24 x^{119} - 1 = 0 : x = \frac{1}{119 24}

The solutions are

x = 0, x = \frac{1}{119 24}

y = y^{3}

5 n x^{4} (\frac{1}{5})^{3} = 125

4 x^{4} + x - 3 = 5 x^{5} + x - 6

4 x + 8 = 6 x^{5} - 4

x^{4} - 4 x^{2} + 32 = 0

What are the solutions to the equation -24x^{120}=-x ?
The solutions to the equation -24x^{120}=-x are x=0,x= 1/(\sqrt[119]{24)}
Find the zeros of -24x^{120}=-x
The zeros of -24x^{120}=-x are x=0,x= 1/(\sqrt[119]{24)}