What are the solutions to the equation x^4=324 ?

The solutions to the equation x^4=324 are x=3sqrt(2),x=-3sqrt(2),x=sqrt(2)*3i,x=-sqrt(2)*3i

Find the zeros of x^4=324

The zeros of x^4=324 are x=3sqrt(2),x=-3sqrt(2),x=sqrt(2)*3i,x=-sqrt(2)*3i

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x^{4} = 324

x = 32, x = - 32, x = 2 \cdot 3 i, x = - 2 \cdot 3 i

Solution steps

x^{4} = 324

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} = 324

Solve

u^{2} = 324 : u = 324, u = - 324

u = 324, u = - 324

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 324 : x = 32, x = - 32

Solve

x^{2} = - 324 : x = 2 \cdot 3 i, x = - 2 \cdot 3 i

The solutions are

x = 32, x = - 32, x = 2 \cdot 3 i, x = - 2 \cdot 3 i

x^{4} = 2 - x

y^{3} + 3 y^{2} = 36 y + 108

v = \frac{4}{3} π r^{3}, r

x^{3} - 7 x^{2} + 7 x + 15 = 0

x^{3} + 6 x + 4 = 0

What are the solutions to the equation x^4=324 ?
The solutions to the equation x^4=324 are x=3sqrt(2),x=-3sqrt(2),x=sqrt(2)*3i,x=-sqrt(2)*3i
Find the zeros of x^4=324
The zeros of x^4=324 are x=3sqrt(2),x=-3sqrt(2),x=sqrt(2)*3i,x=-sqrt(2)*3i