What are the solutions to the equation 2s^4+48s^2-50=0 ?

The solutions to the equation 2s^4+48s^2-50=0 are s=1,s=-1,s=5i,s=-5i

Find the zeros of 2s^4+48s^2-50=0

The zeros of 2s^4+48s^2-50=0 are s=1,s=-1,s=5i,s=-5i

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2 s^{4} + 48 s^{2} - 50 = 0

s = 1, s = - 1, s = 5 i, s = - 5 i

Solution steps

2 s^{4} + 48 s^{2} - 50 = 0

Rewrite the equation with

u = s^{2}

and

u^{2} = s^{4}

2 u^{2} + 48 u - 50 = 0

Solve

2 u^{2} + 48 u - 50 = 0 : u = 1, u = - 25

u = 1, u = - 25

Substitute back

u = s^{2},

solve for

s

Solve

s^{2} = 1 : s = 1, s = - 1

Solve

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

The solutions are

s = 1, s = - 1, s = 5 i, s = - 5 i

x^{3} + 4 x^{2} - 10 x - 40 = 0

2 x^{3} + 10 x^{2} + 4 x = - 8 x

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

2.5 x^{3} + 6.7 x^{2} + 4.9 x - 0.5 = 0

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

What are the solutions to the equation 2s^4+48s^2-50=0 ?
The solutions to the equation 2s^4+48s^2-50=0 are s=1,s=-1,s=5i,s=-5i
Find the zeros of 2s^4+48s^2-50=0
The zeros of 2s^4+48s^2-50=0 are s=1,s=-1,s=5i,s=-5i