What are the solutions to the equation 8x^4-18x^2=0 ?

The solutions to the equation 8x^4-18x^2=0 are x= 3/2 ,x=-3/2 ,x=0

Find the zeros of 8x^4-18x^2=0

The zeros of 8x^4-18x^2=0 are x= 3/2 ,x=-3/2 ,x=0

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8 x^{4} - 18 x^{2} = 0

x = \frac{3}{2}, x = - \frac{3}{2}, x = 0

Decimal Notation

x = 1.5, x = - 1.5, x = 0

Solution steps

8 x^{4} - 18 x^{2} = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

8 u^{2} - 18 u = 0

Solve

8 u^{2} - 18 u = 0 : u = \frac{9}{4}, u = 0

u = \frac{9}{4}, u = 0

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = \frac{9}{4} : x = \frac{3}{2}, x = - \frac{3}{2}

Solve

x^{2} = 0 : x = 0

The solutions are

x = \frac{3}{2}, x = - \frac{3}{2}, x = 0

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

x^{3} + 3 x^{2} - 24 x + 1 = 0

x, x^{7} + y^{7} = 128

50 x = 2 x^{3}

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

What are the solutions to the equation 8x^4-18x^2=0 ?
The solutions to the equation 8x^4-18x^2=0 are x= 3/2 ,x=-3/2 ,x=0
Find the zeros of 8x^4-18x^2=0
The zeros of 8x^4-18x^2=0 are x= 3/2 ,x=-3/2 ,x=0