What are the solutions to the equation pi*r^4=4.86*10^{-7} ?

The solutions to the equation pi*r^4=4.86*10^{-7} are

Find the zeros of pi*r^4=4.86*10^{-7}

The zeros of pi*r^4=4.86*10^{-7} are

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π \cdot r^{4} = 4.86 \cdot 1 0^{- 7}

Solution steps

π r^{4} = 4.86 \cdot 1 0^{- 7}

Simplify

4.86 \cdot 1 0^{- 7} : \frac{4.86}{10000000}

π r^{4} = \frac{4.86}{10000000}

Divide both sides by

π

r^{4} = 1.54699 E - 7

Rewrite the equation with

u = r^{2}

and

u^{2} = r^{4}

u^{2} = 1.54699 E - 7

Solve

u^{2} = 1.54699 E - 7 : u = 1.54699 E - 7, u = - 1.54699 E - 7

u = 1.54699 E - 7, u = - 1.54699 E - 7

Substitute back

u = r^{2},

solve for

r

Solve

The solutions are

x^{4} - 265 x^{2} + 1 = 0

x^{4} x - 8 = 2 x - 4

x (x^{2} + x - 6) = 0

- 2 = 2 x^{5} + x^{3} + 1

(2 - x^{2})^{2} - 1 = 0

What are the solutions to the equation pi*r^4=4.86*10^{-7} ?
The solutions to the equation pi*r^4=4.86*10^{-7} are
Find the zeros of pi*r^4=4.86*10^{-7}
The zeros of pi*r^4=4.86*10^{-7} are