What are the solutions to the equation 2x^4=50 ?

The solutions to the equation 2x^4=50 are x=sqrt(5),x=-sqrt(5),x=sqrt(5)i,x=-sqrt(5)i

Find the zeros of 2x^4=50

The zeros of 2x^4=50 are x=sqrt(5),x=-sqrt(5),x=sqrt(5)i,x=-sqrt(5)i

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2 x^{4} = 50

x = 5, x = - 5, x = 5 i, x = - 5 i

Solution steps

2 x^{4} = 50

Divide both sides by

2

x^{4} = 25

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} = 25

Solve

u^{2} = 25 : u = 25, u = - 25

u = 25, u = - 25

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 25 : x = 5, x = - 5

Solve

x^{2} = - 25 : x = 5 i, x = - 5 i

The solutions are

x = 5, x = - 5, x = 5 i, x = - 5 i

1 = x^{4}

22 x = x^{3} - 9 x^{2}

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

5 x^{3} - x^{2} - 5 x + 1 = 0

2 x^{3} - 5 x^{2} + x + 2

What are the solutions to the equation 2x^4=50 ?
The solutions to the equation 2x^4=50 are x=sqrt(5),x=-sqrt(5),x=sqrt(5)i,x=-sqrt(5)i
Find the zeros of 2x^4=50
The zeros of 2x^4=50 are x=sqrt(5),x=-sqrt(5),x=sqrt(5)i,x=-sqrt(5)i