What are the solutions to the equation t^5=9t^3 ?

The solutions to the equation t^5=9t^3 are t=0,t=-3,t=3

Find the zeros of t^5=9t^3

The zeros of t^5=9t^3 are t=0,t=-3,t=3

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t^{5} = 9 t^{3}

t = 0, t = - 3, t = 3

Solution steps

t^{5} = 9 t^{3}

Move

9 t^{3}

to the left side

t^{5} - 9 t^{3} = 0

Factor

t^{5} - 9 t^{3} : t^{3} (t + 3) (t - 3)

t^{3} (t + 3) (t - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t = 0 or t + 3 = 0 or t - 3 = 0

Solve

t + 3 = 0 : t = - 3

Solve

t - 3 = 0 : t = 3

The solutions are

t = 0, t = - 3, t = 3

z^{8} = 256

m^{4} + m^{2} + 1 = 0

3 x^{3} + 6 x^{2} - 24 x = a x (x + b) (x + c)

a, a^{3} - b^{3} = 0

(2 x^{2} - 7 x)^{2} + 2 x^{2} - 7 x = 20

What are the solutions to the equation t^5=9t^3 ?
The solutions to the equation t^5=9t^3 are t=0,t=-3,t=3
Find the zeros of t^5=9t^3
The zeros of t^5=9t^3 are t=0,t=-3,t=3