What are the solutions to the equation x^4-15x^2-16=0 ?

The solutions to the equation x^4-15x^2-16=0 are x=4,x=-4,x=i,x=-i

Find the zeros of x^4-15x^2-16=0

The zeros of x^4-15x^2-16=0 are x=4,x=-4,x=i,x=-i

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x^{4} - 15 x^{2} - 16 = 0

x = 4, x = - 4, x = i, x = - i

Solution steps

x^{4} - 15 x^{2} - 16 = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

u^{2} - 15 u - 16 = 0

Solve

u^{2} - 15 u - 16 = 0 : u = 16, u = - 1

u = 16, u = - 1

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 16 : x = 4, x = - 4

Solve

x^{2} = - 1 : x = i, x = - i

The solutions are

x = 4, x = - 4, x = i, x = - i

x, x^{3} - 19 = y^{3}

x^{3} (x - 2) = 0

125 x^{3} + 150 x^{2} + 60 x = 0

[(2 - x) \cdot (5 - 6 + 3)]^{3} x [(2 - 3) + (6 - 7 - 1)^{2}] = - 192

x^{22} x - 8 = 0

What are the solutions to the equation x^4-15x^2-16=0 ?
The solutions to the equation x^4-15x^2-16=0 are x=4,x=-4,x=i,x=-i
Find the zeros of x^4-15x^2-16=0
The zeros of x^4-15x^2-16=0 are x=4,x=-4,x=i,x=-i