What are the solutions to the equation 4x^5=144x^3 ?

The solutions to the equation 4x^5=144x^3 are x=0,x=-6,x=6

Find the zeros of 4x^5=144x^3

The zeros of 4x^5=144x^3 are x=0,x=-6,x=6

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4 x^{5} = 144 x^{3}

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

Solution steps

4 x^{5} = 144 x^{3}

Move

144 x^{3}

to the left side

4 x^{5} - 144 x^{3} = 0

Factor

4 x^{5} - 144 x^{3} : 4 x^{3} (x + 6) (x - 6)

4 x^{3} (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

x^{4} - 3 x^{3} + 7 x - 2 = 0

x^{4} - 4 x^{3} + 10 = 0

(2 x + 7) (x^{2} - 15) = 0

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

x^{3} + 2 x^{2} - 11 x = 12

What are the solutions to the equation 4x^5=144x^3 ?
The solutions to the equation 4x^5=144x^3 are x=0,x=-6,x=6
Find the zeros of 4x^5=144x^3
The zeros of 4x^5=144x^3 are x=0,x=-6,x=6