What are the solutions to the equation 256/625 =100r^6 ?

The solutions to the equation 256/625 =100r^6 are

Find the zeros of 256/625 =100r^6

The zeros of 256/625 =100r^6 are

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\frac{256}{625} = 100 r^{6}

r = \frac{2}{5}, r = - \frac{2}{5}, r = \frac{1}{5} + \frac{3}{5} i, r = - \frac{1}{5} - \frac{3}{5} i, r = \frac{1}{5} - \frac{3}{5} i, r = - \frac{1}{5} + \frac{3}{5} i

Solution steps

\frac{256}{625} = 100 r^{6}

Switch sides

100 r^{6} = \frac{256}{625}

Divide both sides by

100

r^{6} = \frac{64}{15625}

Rewrite the equation with

u = r^{2}

and

u^{3} = r^{6}

u^{3} = \frac{64}{15625}

Solve

Substitute back

u = r^{2},

solve for

r

Solve

The solutions are

r = \frac{2}{5}, r = - \frac{2}{5}, r = \frac{1}{5} + \frac{3}{5} i, r = - \frac{1}{5} - \frac{3}{5} i, r = \frac{1}{5} - \frac{3}{5} i, r = - \frac{1}{5} + \frac{3}{5} i

n^{3} = 343

4 X^{3} = 2 X^{2}

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

3 w - w^{3} = 2

x^{5} = 1 0^{35}

What are the solutions to the equation 256/625 =100r^6 ?
The solutions to the equation 256/625 =100r^6 are
Find the zeros of 256/625 =100r^6
The zeros of 256/625 =100r^6 are