What are the solutions to the equation x^7=x^5 ?

The solutions to the equation x^7=x^5 are x=0,x=-1,x=1

Find the zeros of x^7=x^5

The zeros of x^7=x^5 are x=0,x=-1,x=1

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x^{7} = x^{5}

x = 0, x = - 1, x = 1

Solution steps

x^{7} = x^{5}

Move

x^{5}

to the left side

x^{7} - x^{5} = 0

Factor

x^{7} - x^{5} : x^{5} (x + 1) (x - 1)

x^{5} (x + 1) (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 1 = 0 or x - 1 = 0

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

The solutions are

x = 0, x = - 1, x = 1

z^{3} - 8 z^{2} + 21 z - 20 = 0

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

(1 \cdot x)^{60} = 1.1051

3 x^{3} - 4 x^{2} - 12 x + 16 = 0

20124 = e^{3}

What are the solutions to the equation x^7=x^5 ?
The solutions to the equation x^7=x^5 are x=0,x=-1,x=1
Find the zeros of x^7=x^5
The zeros of x^7=x^5 are x=0,x=-1,x=1