What are the solutions to the equation 5x^4=45x^2 ?

The solutions to the equation 5x^4=45x^2 are x=0,x=-3,x=3

Find the zeros of 5x^4=45x^2

The zeros of 5x^4=45x^2 are x=0,x=-3,x=3

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5 x^{4} = 45 x^{2}

x = 0, x = - 3, x = 3

Solution steps

5 x^{4} = 45 x^{2}

Move

45 x^{2}

to the left side

5 x^{4} - 45 x^{2} = 0

Factor

5 x^{4} - 45 x^{2} : 5 x^{2} (x + 3) (x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = - 3, x = 3

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

3 x^{3} + 16 = x^{2} + 48 x

(5 x - 3)^{2} (2 x + 3)^{3} = 100

x^{3} - x^{2} - 20 x = 0

x^{6} + 117 x^{3} - 1000 = 0

What are the solutions to the equation 5x^4=45x^2 ?
The solutions to the equation 5x^4=45x^2 are x=0,x=-3,x=3
Find the zeros of 5x^4=45x^2
The zeros of 5x^4=45x^2 are x=0,x=-3,x=3