What are the solutions to the equation 5nx^4(1/5)^3=125 ?

The solutions to the equation 5nx^4(1/5)^3=125 are

Find the zeros of 5nx^4(1/5)^3=125

The zeros of 5nx^4(1/5)^3=125 are

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5 n x^{4} (\frac{1}{5})^{3} = 125

Solution steps

5 n x^{4} (\frac{1}{5})^{3} = 125

Divide both sides by

5 n (\frac{1}{5})^{3}; n \neq = 0

x^{4} = \frac{3125}{n}; n \neq = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} = \frac{3125}{n}

Solve

u^{2} = \frac{3125}{n} : u = \frac{3125}{n}, u = - \frac{3125}{n}

u = \frac{3125}{n}, u = - \frac{3125}{n}

Substitute back

u = x^{2},

solve for

x

Solve

The solutions are

4 x^{4} + x - 3 = 5 x^{5} + x - 6

4 x + 8 = 6 x^{5} - 4

x^{4} - 4 x^{2} + 32 = 0

(d^{2} + 1)^{3} = 0

(x + 5)^{3} = \frac{- 64}{125}

What are the solutions to the equation 5nx^4(1/5)^3=125 ?
The solutions to the equation 5nx^4(1/5)^3=125 are
Find the zeros of 5nx^4(1/5)^3=125
The zeros of 5nx^4(1/5)^3=125 are