What are the solutions to the equation x^4=50625 ?

The solutions to the equation x^4=50625 are x=15,x=-15,x=15i,x=-15i

Find the zeros of x^4=50625

The zeros of x^4=50625 are x=15,x=-15,x=15i,x=-15i

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x^{4} = 50625

x = 15, x = - 15, x = 15 i, x = - 15 i

Solution steps

x^{4} = 50625

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} = 50625

Solve

u^{2} = 50625 : u = 50625, u = - 50625

u = 50625, u = - 50625

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 50625 : x = 15, x = - 15

Solve

x^{2} = - 50625 : x = 15 i, x = - 15 i

The solutions are

x = 15, x = - 15, x = 15 i, x = - 15 i

4 x^{3} - 20 x - 9 = 0

3 t - t^{3} = 0

4 x^{3} = 8 x

4 x^{3} = 80

x^{3} + 8 = (x + 2)

What are the solutions to the equation x^4=50625 ?
The solutions to the equation x^4=50625 are x=15,x=-15,x=15i,x=-15i
Find the zeros of x^4=50625
The zeros of x^4=50625 are x=15,x=-15,x=15i,x=-15i