What are the solutions to the equation 48x^2=3x^4 ?

The solutions to the equation 48x^2=3x^4 are x=0,x=-4,x=4

Find the zeros of 48x^2=3x^4

The zeros of 48x^2=3x^4 are x=0,x=-4,x=4

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48 x^{2} = 3 x^{4}

x = 0, x = - 4, x = 4

Solution steps

48 x^{2} = 3 x^{4}

Move

3 x^{4}

to the left side

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 4 = 0 or x - 4 = 0

Solve

x + 4 = 0 : x = - 4

Solve

x - 4 = 0 : x = 4

The solutions are

x = 0, x = - 4, x = 4

α^{5} - 5 α + 4 = 0

x, y = x^{6}

x, (2 x + 3)^{4} = 3 y^{4}

x^{4} - 6 x^{2} = 0

x^{4} - 6 x^{3} + 14 x^{2} - 6 x + 13 = 0

What are the solutions to the equation 48x^2=3x^4 ?
The solutions to the equation 48x^2=3x^4 are x=0,x=-4,x=4
Find the zeros of 48x^2=3x^4
The zeros of 48x^2=3x^4 are x=0,x=-4,x=4