What are the solutions to the equation x^4=100 ?

The solutions to the equation x^4=100 are x=sqrt(10),x=-sqrt(10),x=sqrt(10)i,x=-sqrt(10)i

Find the zeros of x^4=100

The zeros of x^4=100 are x=sqrt(10),x=-sqrt(10),x=sqrt(10)i,x=-sqrt(10)i

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x^{4} = 100

x = 10, x = - 10, x = 10 i, x = - 10 i

Solution steps

x^{4} = 100

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} = 100

Solve

u^{2} = 100 : u = 100, u = - 100

u = 100, u = - 100

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 100 : x = 10, x = - 10

Solve

x^{2} = - 100 : x = 10 i, x = - 10 i

The solutions are

x = 10, x = - 10, x = 10 i, x = - 10 i

12 = 4 c [x^{7}]

x^{4} - 36 x^{2} = 0

(p^{2} - 6)^{2} - 8 p^{2} = 0

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

z^{3} = 8

What are the solutions to the equation x^4=100 ?
The solutions to the equation x^4=100 are x=sqrt(10),x=-sqrt(10),x=sqrt(10)i,x=-sqrt(10)i
Find the zeros of x^4=100
The zeros of x^4=100 are x=sqrt(10),x=-sqrt(10),x=sqrt(10)i,x=-sqrt(10)i