What are the solutions to the equation t(0)=4t^3+6t^2-60t ?

The solutions to the equation t(0)=4t^3+6t^2-60t are t=0,t=(-3+sqrt(249))/4 ,t=(-3-sqrt(249))/4

Find the zeros of t(0)=4t^3+6t^2-60t

The zeros of t(0)=4t^3+6t^2-60t are t=0,t=(-3+sqrt(249))/4 ,t=(-3-sqrt(249))/4

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t (0) = 4 t^{3} + 6 t^{2} - 60 t

t = 0, t = \frac{- 3 + 249}{4}, t = \frac{- 3 - 249}{4}

Decimal Notation

t = 0, t = 3.19493 \dots, t = - 4.69493 \dots

Solution steps

t (0) = 4 t^{3} + 6 t^{2} - 60 t

Refine

0 = 4 t^{3} + 6 t^{2} - 60 t

Switch sides

4 t^{3} + 6 t^{2} - 60 t = 0

Factor

4 t^{3} + 6 t^{2} - 60 t : 2 t (2 t^{2} + 3 t - 30)

2 t (2 t^{2} + 3 t - 30) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

t = 0 or 2 t^{2} + 3 t - 30 = 0

Solve

2 t^{2} + 3 t - 30 = 0 : t = \frac{- 3 + 249}{4}, t = \frac{- 3 - 249}{4}

The solutions are

t = 0, t = \frac{- 3 + 249}{4}, t = \frac{- 3 - 249}{4}

x^{7} x = 238

r^{3} + 9 r = 0

9 a^{3} + 36 a^{2} - 4 a - 16 = 0

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

- m^{8} + 7 = 5

What are the solutions to the equation t(0)=4t^3+6t^2-60t ?
The solutions to the equation t(0)=4t^3+6t^2-60t are t=0,t=(-3+sqrt(249))/4 ,t=(-3-sqrt(249))/4
Find the zeros of t(0)=4t^3+6t^2-60t
The zeros of t(0)=4t^3+6t^2-60t are t=0,t=(-3+sqrt(249))/4 ,t=(-3-sqrt(249))/4