What are the solutions to the equation 3\times 10^8=x^6\times 10^{14} ?

The solutions to the equation 3\times 10^8=x^6\times 10^{14} are

Find the zeros of 3\times 10^8=x^6\times 10^{14}

The zeros of 3\times 10^8=x^6\times 10^{14} are

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3 \cdot 1 0^{8} = x^{6} \cdot 1 0^{14}

Solution steps

3 \cdot 1 0^{8} = x^{6} \cdot 1 0^{14}

Switch sides

x^{6} \cdot 1 0^{14} = 3 \cdot 1 0^{8}

Divide both sides by

1 0^{14}

x^{6} = \frac{3}{1 0 ^{6}}

Rewrite the equation with

u = x^{2}

and

u^{3} = x^{6}

u^{3} = \frac{3}{1 0 ^{6}}

Solve

Substitute back

u = x^{2},

solve for

x

Solve

The solutions are

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

6 x^{3} + 25 x^{2} + 2 x - 8

3 x^{3} - 22 x^{2} + 5 x + 14 = 0

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

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

What are the solutions to the equation 3\times 10^8=x^6\times 10^{14} ?
The solutions to the equation 3\times 10^8=x^6\times 10^{14} are
Find the zeros of 3\times 10^8=x^6\times 10^{14}
The zeros of 3\times 10^8=x^6\times 10^{14} are