What are the solutions to the equation 15x^4-60x^2=0 ?

The solutions to the equation 15x^4-60x^2=0 are x=2,x=-2,x=0

Find the zeros of 15x^4-60x^2=0

The zeros of 15x^4-60x^2=0 are x=2,x=-2,x=0

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15 x^{4} - 60 x^{2} = 0

x = 2, x = - 2, x = 0

Solution steps

15 x^{4} - 60 x^{2} = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

15 u^{2} - 60 u = 0

Solve

15 u^{2} - 60 u = 0 : u = 4, u = 0

u = 4, u = 0

Substitute back

u = x^{2},

solve for

x

Solve

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

Solve

x^{2} = 0 : x = 0

The solutions are

x = 2, x = - 2, x = 0

x^{4} - 10 x^{2} + 24 = 0

- x^{3} + 8 x^{2} - 20 x + 16 = 0

4 x^{3} - 8 x = 0

\frac{3}{5} (5 x - 2)^{3} - 12 = 0

x (x + 1) (x + 3) = 2 (x + 3)

What are the solutions to the equation 15x^4-60x^2=0 ?
The solutions to the equation 15x^4-60x^2=0 are x=2,x=-2,x=0
Find the zeros of 15x^4-60x^2=0
The zeros of 15x^4-60x^2=0 are x=2,x=-2,x=0