What are the solutions to the equation 2t^6-5t^4+9t=0 ?

The solutions to the equation 2t^6-5t^4+9t=0 are t=0,t\approx-1.80647…

Find the zeros of 2t^6-5t^4+9t=0

The zeros of 2t^6-5t^4+9t=0 are t=0,t\approx-1.80647…

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2 t^{6} - 5 t^{4} + 9 t = 0

t = 0, t \approx - 1.80647 \dots

Solution steps

2 t^{6} - 5 t^{4} + 9 t = 0

Factor

2 t^{6} - 5 t^{4} + 9 t : t (2 t^{5} - 5 t^{3} + 9)

t (2 t^{5} - 5 t^{3} + 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t = 0 or 2 t^{5} - 5 t^{3} + 9 = 0

Solve

2 t^{5} - 5 t^{3} + 9 = 0 : t \approx - 1.80647 \dots

The solutions are

t = 0, t \approx - 1.80647 \dots

x^{2} (25 - 4 x) = 5

x^{3} = 64000

2 x^{3} + 5 x^{2} - 12 x = 0

2 x^{3} - 17 x^{2} - 11 x - 1 = 0

y^{4} + 32 y^{2} - 144 = 0

What are the solutions to the equation 2t^6-5t^4+9t=0 ?
The solutions to the equation 2t^6-5t^4+9t=0 are t=0,t\approx-1.80647…
Find the zeros of 2t^6-5t^4+9t=0
The zeros of 2t^6-5t^4+9t=0 are t=0,t\approx-1.80647…