What are the solutions to the equation 0.04x^4-3.24=0 ?

The solutions to the equation 0.04x^4-3.24=0 are x=3,x=-3,x=3i,x=-3i

Find the zeros of 0.04x^4-3.24=0

The zeros of 0.04x^4-3.24=0 are x=3,x=-3,x=3i,x=-3i

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0.04 x^{4} - 3.24 = 0

x = 3, x = - 3, x = 3 i, x = - 3 i

Solution steps

0.04 x^{4} - 3.24 = 0

Move

3.24

to the right side

0.04 x^{4} = 3.24

Divide both sides by

0.04

x^{4} = 81

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} = 81

Solve

u^{2} = 81 : u = 81, u = - 81

u = 81, u = - 81

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 81 : x = 3, x = - 3

Solve

x^{2} = - 81 : x = 3 i, x = - 3 i

The solutions are

x = 3, x = - 3, x = 3 i, x = - 3 i

3 \times 1 0^{8} = x^{6} \times 1 0^{14}

x^{3} + x^{2} - 12 x - 12 = 0

6 x^{3} + 25 x^{2} + 2 x - 8

3 x^{3} - 22 x^{2} + 5 x + 14 = 0

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

What are the solutions to the equation 0.04x^4-3.24=0 ?
The solutions to the equation 0.04x^4-3.24=0 are x=3,x=-3,x=3i,x=-3i
Find the zeros of 0.04x^4-3.24=0
The zeros of 0.04x^4-3.24=0 are x=3,x=-3,x=3i,x=-3i