What are the solutions to the equation y^4-4=0 ?

The solutions to the equation y^4-4=0 are y=sqrt(2),y=-sqrt(2),y=sqrt(2)i,y=-sqrt(2)i

Find the zeros of y^4-4=0

The zeros of y^4-4=0 are y=sqrt(2),y=-sqrt(2),y=sqrt(2)i,y=-sqrt(2)i

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y^{4} - 4 = 0

y = 2, y = - 2, y = 2 i, y = - 2 i

Solution steps

y^{4} - 4 = 0

Move

4

to the right side

y^{4} = 4

Rewrite the equation with

u = y^{2}

and

u^{2} = y^{4}

u^{2} = 4

Solve

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

u = 4, u = - 4

Substitute back

u = y^{2},

solve for

y

Solve

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

Solve

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

The solutions are

y = 2, y = - 2, y = 2 i, y = - 2 i

z^{6} + 6 z^{3} + 10 = 0

- 2 x^{4} + x^{3} - x^{2} + 4 x

- 3 x^{3} + 5 x^{2} - 27 x + 45 = 0

2 x^{4} - 9 x^{3} + 17 x^{2} - 36 x + 36 = 0

x^{4} + 7 x^{3} + 8 x^{2} - 7 x + 15 = 0

What are the solutions to the equation y^4-4=0 ?
The solutions to the equation y^4-4=0 are y=sqrt(2),y=-sqrt(2),y=sqrt(2)i,y=-sqrt(2)i
Find the zeros of y^4-4=0
The zeros of y^4-4=0 are y=sqrt(2),y=-sqrt(2),y=sqrt(2)i,y=-sqrt(2)i