What are the solutions to the equation 2t^5+2t^4-144t^3=0 ?

The solutions to the equation 2t^5+2t^4-144t^3=0 are t=0,t=8,t=-9

Find the zeros of 2t^5+2t^4-144t^3=0

The zeros of 2t^5+2t^4-144t^3=0 are t=0,t=8,t=-9

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2 t^{5} + 2 t^{4} - 144 t^{3} = 0

t = 0, t = 8, t = - 9

Solution steps

2 t^{5} + 2 t^{4} - 144 t^{3} = 0

Factor

2 t^{5} + 2 t^{4} - 144 t^{3} : 2 t^{3} (t - 8) (t + 9)

2 t^{3} (t - 8) (t + 9) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t = 0 or t - 8 = 0 or t + 9 = 0

Solve

t - 8 = 0 : t = 8

Solve

t + 9 = 0 : t = - 9

The solutions are

t = 0, t = 8, t = - 9

x^{4} + x^{2} - 6 x + 9 = 0

12 x^{3} + 9 x^{2} - 108 x - 81 = 0

(3 x + 5)^{4} - (3 x + 5)^{3} = 0

268 = r^{4}

4 x^{3} - 3 x^{2} + 1 = 0

What are the solutions to the equation 2t^5+2t^4-144t^3=0 ?
The solutions to the equation 2t^5+2t^4-144t^3=0 are t=0,t=8,t=-9
Find the zeros of 2t^5+2t^4-144t^3=0
The zeros of 2t^5+2t^4-144t^3=0 are t=0,t=8,t=-9