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

The solutions to the equation 2x^4=9x^2 are x=0,x=-3/(sqrt(2)),x= 3/(sqrt(2))

Find the zeros of 2x^4=9x^2

The zeros of 2x^4=9x^2 are x=0,x=-3/(sqrt(2)),x= 3/(sqrt(2))

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2 x^{4} = 9 x^{2}

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

Decimal Notation

x = 0, x = - 2.12132 \dots, x = 2.12132 \dots

Solution steps

2 x^{4} = 9 x^{2}

Move

9 x^{2}

to the left side

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

Factor

2 x^{4} - 9 x^{2} : x^{2} (2 x + 3) (2 x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2 x + 3 = 0 or 2 x - 3 = 0

Solve

2 x + 3 = 0 : x = - \frac{3}{2}

Solve

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

The solutions are

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

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

11 x^{3} + 123 x^{2} + 23 x + 11

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

z^{6} - 2 z^{3} + 2 = 0

z^{10} = 9^{10}

What are the solutions to the equation 2x^4=9x^2 ?
The solutions to the equation 2x^4=9x^2 are x=0,x=-3/(sqrt(2)),x= 3/(sqrt(2))
Find the zeros of 2x^4=9x^2
The zeros of 2x^4=9x^2 are x=0,x=-3/(sqrt(2)),x= 3/(sqrt(2))