What are the solutions to the equation 4b^3-10b^2+196b-196=0 ?

The solutions to the equation 4b^3-10b^2+196b-196=0 are b\approx 1.03190…

Find the zeros of 4b^3-10b^2+196b-196=0

The zeros of 4b^3-10b^2+196b-196=0 are b\approx 1.03190…

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4 b^{3} - 10 b^{2} + 196 b - 196 = 0

b \approx 1.03190 \dots

Solution steps

4 b^{3} - 10 b^{2} + 196 b - 196 = 0

Find one solution for

4 b^{3} - 10 b^{2} + 196 b - 196 = 0

using Newton-Raphson:

b \approx 1.03190 \dots

Apply long division:

\frac{4 b ^{3} - 10 b ^{2} + 196 b - 196}{b - 1.03190 \dots} = 4 b^{2} - 5.87238 \dots b + 189.94026 \dots

4 b^{2} - 5.87238 \dots b + 189.94026 \dots \approx 0

Find one solution for

4 b^{2} - 5.87238 \dots b + 189.94026 \dots = 0

using Newton-Raphson:

No Solution for

b \in R

The solution is

b \approx 1.03190 \dots

x^{4} + 7 x^{3} - 2 x^{2} - 7 x + 1 = 0

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

x^{3} + 7 x^{2} + 9 x + 63 = 0

(x^{3} - 8) = 0

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

What are the solutions to the equation 4b^3-10b^2+196b-196=0 ?
The solutions to the equation 4b^3-10b^2+196b-196=0 are b\approx 1.03190…
Find the zeros of 4b^3-10b^2+196b-196=0
The zeros of 4b^3-10b^2+196b-196=0 are b\approx 1.03190…