What are the solutions to the equation 3=0.03t^3+0.05t^2 ?

The solutions to the equation 3=0.03t^3+0.05t^2 are t\approx 4.14728…

Find the zeros of 3=0.03t^3+0.05t^2

The zeros of 3=0.03t^3+0.05t^2 are t\approx 4.14728…

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3 = 0.03 t^{3} + 0.05 t^{2}

t \approx 4.14728 \dots

Solution steps

3 = 0.03 t^{3} + 0.05 t^{2}

Multiply both sides by

100

300 = 3 t^{3} + 5 t^{2}

Switch sides

3 t^{3} + 5 t^{2} = 300

Move

300

to the left side

3 t^{3} + 5 t^{2} - 300 = 0

Find one solution for

3 t^{3} + 5 t^{2} - 300 = 0

using Newton-Raphson:

t \approx 4.14728 \dots

Apply long division:

\frac{3 t ^{3} + 5 t ^{2} - 300}{t - 4.14728 \dots} = 3 t^{2} + 17.44186 \dots t + 72.33642 \dots

3 t^{2} + 17.44186 \dots t + 72.33642 \dots \approx 0

Find one solution for

3 t^{2} + 17.44186 \dots t + 72.33642 \dots = 0

using Newton-Raphson:

No Solution for

t \in R

The solution is

t \approx 4.14728 \dots

2418 = 2330 \cdot (1 + r)^{15}

8 m^{3} + 32 m^{2} - 360 m = 0

t, f = (\frac{t}{a})^{3}

x^{5} - 15 x^{3} = 0

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

What are the solutions to the equation 3=0.03t^3+0.05t^2 ?
The solutions to the equation 3=0.03t^3+0.05t^2 are t\approx 4.14728…
Find the zeros of 3=0.03t^3+0.05t^2
The zeros of 3=0.03t^3+0.05t^2 are t\approx 4.14728…