What are the solutions to the equation 52x^6=x-23x ?

The solutions to the equation 52x^6=x-23x are x=0,x=-\sqrt[5]{11/26}

Find the zeros of 52x^6=x-23x

The zeros of 52x^6=x-23x are x=0,x=-\sqrt[5]{11/26}

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52 x^{6} = x - 23 x

Decimal Notation

x = 0, x = - 0.84194 \dots

Solution steps

52 x^{6} = x - 23 x

Subtract

x - 23 x

from both sides

52 x^{6} - (x - 23 x) = x - 23 x - (x - 23 x)

Simplify

52 x^{6} + 22 x = 0

Factor

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

Solve

No Solution for

x \in R

The solutions are

51 = 4 x^{4} - 13

x^{3} - 4 x = 5

x^{4} - 2 x^{2} - 3 x - 2 = 0

x^{4} - 4 x^{3} + 7 x^{2} - 6 x - 18 = 0

x^{3} - 5 x^{2} = - 4 x

What are the solutions to the equation 52x^6=x-23x ?
The solutions to the equation 52x^6=x-23x are x=0,x=-\sqrt[5]{11/26}
Find the zeros of 52x^6=x-23x
The zeros of 52x^6=x-23x are x=0,x=-\sqrt[5]{11/26}