What are the solutions to the equation 5x^4=80x^2 ?

The solutions to the equation 5x^4=80x^2 are x=0,x=-4,x=4

Find the zeros of 5x^4=80x^2

The zeros of 5x^4=80x^2 are x=0,x=-4,x=4

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5 x^{4} = 80 x^{2}

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

Solution steps

5 x^{4} = 80 x^{2}

Move

80 x^{2}

to the left side

5 x^{4} - 80 x^{2} = 0

Factor

5 x^{4} - 80 x^{2} : 5 x^{2} (x + 4) (x - 4)

5 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

- 3 x^{3} + 75 x = 0

x^{3} = \frac{1}{64}

9 x^{4} - 8 x^{2} - 1 = 0

x^{2} (x - 9) = 0

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

What are the solutions to the equation 5x^4=80x^2 ?
The solutions to the equation 5x^4=80x^2 are x=0,x=-4,x=4
Find the zeros of 5x^4=80x^2
The zeros of 5x^4=80x^2 are x=0,x=-4,x=4