What are the solutions to the equation 16x^4=1 ?

The solutions to the equation 16x^4=1 are x= 1/2 ,x=-1/2 ,x= 1/2 i,x=-1/2 i

Find the zeros of 16x^4=1

The zeros of 16x^4=1 are x= 1/2 ,x=-1/2 ,x= 1/2 i,x=-1/2 i

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16 x^{4} = 1

x = \frac{1}{2}, x = - \frac{1}{2}, x = \frac{1}{2} i, x = - \frac{1}{2} i

Solution steps

16 x^{4} = 1

Divide both sides by

16

x^{4} = \frac{1}{16}

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} = \frac{1}{16}

Solve

u^{2} = \frac{1}{16} : u = \frac{1}{16}, u = - \frac{1}{16}

u = \frac{1}{16}, u = - \frac{1}{16}

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = \frac{1}{16} : x = \frac{1}{2}, x = - \frac{1}{2}

Solve

x^{2} = - \frac{1}{16} : x = \frac{1}{2} i, x = - \frac{1}{2} i

The solutions are

x = \frac{1}{2}, x = - \frac{1}{2}, x = \frac{1}{2} i, x = - \frac{1}{2} i

1500 = 986 (1 + x)^{3}

x^{6} + 2 x^{3} + 2 = 0

x^{4} - 3 x^{3} - 5 x^{2} + 13 x + 6 = 0

28 x^{3} - 84 x^{2} = 0

x^{6} + 2 x^{3} - 3 = 0

What are the solutions to the equation 16x^4=1 ?
The solutions to the equation 16x^4=1 are x= 1/2 ,x=-1/2 ,x= 1/2 i,x=-1/2 i
Find the zeros of 16x^4=1
The zeros of 16x^4=1 are x= 1/2 ,x=-1/2 ,x= 1/2 i,x=-1/2 i