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

The solutions to the equation t^3-6t^2+6=0 are t\approx-0.93045…,t\approx 1.10740…,t\approx 5.82305…

Find the zeros of t^3-6t^2+6=0

The zeros of t^3-6t^2+6=0 are t\approx-0.93045…,t\approx 1.10740…,t\approx 5.82305…

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

t \approx - 0.93045 \dots, t \approx 1.10740 \dots, t \approx 5.82305 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

t \approx - 0.93045 \dots

Apply long division:

\frac{t ^{3} - 6 t ^{2} + 6}{t + 0.93045 \dots} = t^{2} - 6.93045 \dots t + 6.44846 \dots

t^{2} - 6.93045 \dots t + 6.44846 \dots \approx 0

Find one solution for

t^{2} - 6.93045 \dots t + 6.44846 \dots = 0

using Newton-Raphson:

t \approx 1.10740 \dots

Apply long division:

\frac{t ^{2} - 6.93045 \dots t + 6.44846 \dots}{t - 1.10740 \dots} = t - 5.82305 \dots

t - 5.82305 \dots \approx 0

t \approx 5.82305 \dots

The solutions are

t \approx - 0.93045 \dots, t \approx 1.10740 \dots, t \approx 5.82305 \dots

x^{3} + 3 x^{2} + 3 x + 18 = 0

x^{6} + 28 x^{3} + 16 = 0

(x + 2)^{3} = 0

x^{3} - 8 x^{2} - 4 x - 48 = 0

(0.0012 + x) (2 x)^{2} = 2.8 x 1 0^{- 7}

What are the solutions to the equation t^3-6t^2+6=0 ?
The solutions to the equation t^3-6t^2+6=0 are t\approx-0.93045…,t\approx 1.10740…,t\approx 5.82305…
Find the zeros of t^3-6t^2+6=0
The zeros of t^3-6t^2+6=0 are t\approx-0.93045…,t\approx 1.10740…,t\approx 5.82305…