What are the solutions to the equation x^5=100x^3 ?

The solutions to the equation x^5=100x^3 are x=0,x=-10,x=10

Find the zeros of x^5=100x^3

The zeros of x^5=100x^3 are x=0,x=-10,x=10

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x^{5} = 100 x^{3}

x = 0, x = - 10, x = 10

Solution steps

x^{5} = 100 x^{3}

Move

100 x^{3}

to the left side

x^{5} - 100 x^{3} = 0

Factor

x^{5} - 100 x^{3} : x^{3} (x + 10) (x - 10)

x^{3} (x + 10) (x - 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 10 = 0 or x - 10 = 0

Solve

x + 10 = 0 : x = - 10

Solve

x - 10 = 0 : x = 10

The solutions are

x = 0, x = - 10, x = 10

x^{3} - 37 x - 84 = 0

x^{3} - 2 x^{2} + 7 = 0

x^{4} + x^{3} + x^{2} + x - 1 = 0

q^{3} = \frac{1}{8}

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

What are the solutions to the equation x^5=100x^3 ?
The solutions to the equation x^5=100x^3 are x=0,x=-10,x=10
Find the zeros of x^5=100x^3
The zeros of x^5=100x^3 are x=0,x=-10,x=10