What are the solutions to the equation 18x^2-9x^4=0 ?

The solutions to the equation 18x^2-9x^4=0 are x=0,x=sqrt(2),x=-sqrt(2)

Find the zeros of 18x^2-9x^4=0

The zeros of 18x^2-9x^4=0 are x=0,x=sqrt(2),x=-sqrt(2)

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18 x^{2} - 9 x^{4} = 0

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

Decimal Notation

x = 0, x = 1.41421 \dots, x = - 1.41421 \dots

Solution steps

18 x^{2} - 9 x^{4} = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- 9 x^{4} + 18 x^{2} = 0

Rewrite the equation with

u = x^{2}

and

u^{2} = x^{4}

- 9 u^{2} + 18 u = 0

Solve

- 9 u^{2} + 18 u = 0 : u = 0, u = 2

u = 0, u = 2

Substitute back

u = x^{2},

solve for

x

Solve

x^{2} = 0 : x = 0

Solve

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

The solutions are

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

0 = 2 x^{4} + 6 x^{2} + 8

y (2 - y) (4 - y) = 0

30 = 0.05625 (x - 22)^{4} - 16.9

x^{3} - 10 = 7

y^{4} + 5 y^{2} - 36 = 0

What are the solutions to the equation 18x^2-9x^4=0 ?
The solutions to the equation 18x^2-9x^4=0 are x=0,x=sqrt(2),x=-sqrt(2)
Find the zeros of 18x^2-9x^4=0
The zeros of 18x^2-9x^4=0 are x=0,x=sqrt(2),x=-sqrt(2)