What are the solutions to the equation r^4=4 ?

The solutions to the equation r^4=4 are r=sqrt(2),r=-sqrt(2),r=sqrt(2)i,r=-sqrt(2)i

Find the zeros of r^4=4

The zeros of r^4=4 are r=sqrt(2),r=-sqrt(2),r=sqrt(2)i,r=-sqrt(2)i

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r^{4} = 4

r = 2, r = - 2, r = 2 i, r = - 2 i

Solution steps

r^{4} = 4

Rewrite the equation with

u = r^{2}

and

u^{2} = r^{4}

u^{2} = 4

Solve

u^{2} = 4 : u = 4, u = - 4

u = 4, u = - 4

Substitute back

u = r^{2},

solve for

r

Solve

r^{2} = 4 : r = 2, r = - 2

Solve

r^{2} = - 4 : r = 2 i, r = - 2 i

The solutions are

r = 2, r = - 2, r = 2 i, r = - 2 i

43 - 2 (x + 3)^{4} = 11

(x + 11)^{4} = 169

2 x^{4} - 13 x^{3} + 28 x^{2} = 23 x - 6

x, lo g_{10} (y) = - x^{3}

(x^{2} - 3 x + 2) (x^{2} - 9 x + 20) (x^{2} - 9 x + 18) = 720

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