What are the solutions to the equation 4x^3+x^2+x-48=0 ?

The solutions to the equation 4x^3+x^2+x-48=0 are x\approx 2.17400…

Find the zeros of 4x^3+x^2+x-48=0

The zeros of 4x^3+x^2+x-48=0 are x\approx 2.17400…

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

x \approx 2.17400 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx 2.17400 \dots

Apply long division:

\frac{4 x ^{3} + x ^{2} + x - 48}{x - 2.17400 \dots} = 4 x^{2} + 9.69600 \dots x + 22.07911 \dots

4 x^{2} + 9.69600 \dots x + 22.07911 \dots \approx 0

Find one solution for

4 x^{2} + 9.69600 \dots x + 22.07911 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.17400 \dots

7 y^{3} - 34 y^{2} - 5 y = 0

2 k^{3} - 3 k + 1 = 0

7 (7 x^{2})^{2} = 4 (7 x^{2}) + 1

x, x^{5} = y^{- 4}

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

What are the solutions to the equation 4x^3+x^2+x-48=0 ?
The solutions to the equation 4x^3+x^2+x-48=0 are x\approx 2.17400…
Find the zeros of 4x^3+x^2+x-48=0
The zeros of 4x^3+x^2+x-48=0 are x\approx 2.17400…