What are the solutions to the equation x^2=8x^{15} ?

The solutions to the equation x^2=8x^{15} are x=0,x= 1/(\sqrt[13]{8)}

Find the zeros of x^2=8x^{15}

The zeros of x^2=8x^{15} are x=0,x= 1/(\sqrt[13]{8)}

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x^{2} = 8 x^{15}

Decimal Notation

x = 0, x = 0.85218 \dots

Solution steps

x^{2} = 8 x^{15}

Switch sides

8 x^{15} = x^{2}

Move

x^{2}

to the left side

8 x^{15} - x^{2} = 0

Factor

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

Solve

No Solution for

x \in R

The solutions are

4 x^{3} - 6 x^{2} - 20 x + 30 = 0

(x^{2} - 8 x + 15) (x + 1) = 0

x^{4} - 4 x^{3} + 7 x^{2} - 8 x + 10 = 0

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

- x^{5} - 1 = 0

What are the solutions to the equation x^2=8x^{15} ?
The solutions to the equation x^2=8x^{15} are x=0,x= 1/(\sqrt[13]{8)}
Find the zeros of x^2=8x^{15}
The zeros of x^2=8x^{15} are x=0,x= 1/(\sqrt[13]{8)}