What are the solutions to the equation 9x^6=324x^4 ?

The solutions to the equation 9x^6=324x^4 are x=0,x=-6,x=6

Find the zeros of 9x^6=324x^4

The zeros of 9x^6=324x^4 are x=0,x=-6,x=6

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9 x^{6} = 324 x^{4}

x = 0, x = - 6, x = 6

Solution steps

9 x^{6} = 324 x^{4}

Move

324 x^{4}

to the left side

9 x^{6} - 324 x^{4} = 0

Factor

9 x^{6} - 324 x^{4} : 9 x^{4} (x + 6) (x - 6)

9 x^{4} (x + 6) (x - 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 6 = 0 or x - 6 = 0

Solve

x + 6 = 0 : x = - 6

Solve

x - 6 = 0 : x = 6

The solutions are

x = 0, x = - 6, x = 6

9 x^{3} + 8 x^{6} = - 1

z^{4} - 1 = 0

(3 x^{2} - 10 x + 8) (2 x - b) = 0

3 (t^{2} - 9)^{2} + 16 (t^{2} - 9) = - 5

D, 2 b - hb = D^{3}

What are the solutions to the equation 9x^6=324x^4 ?
The solutions to the equation 9x^6=324x^4 are x=0,x=-6,x=6
Find the zeros of 9x^6=324x^4
The zeros of 9x^6=324x^4 are x=0,x=-6,x=6