What are the solutions to the equation x^32x^2-11x-12=0 ?

The solutions to the equation x^32x^2-11x-12=0 are x\approx 1.73047…

Find the zeros of x^32x^2-11x-12=0

The zeros of x^32x^2-11x-12=0 are x\approx 1.73047…

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x^{3} 2 x^{2} - 11 x - 12 = 0

x \approx 1.73047 \dots

Solution steps

x^{3} \cdot 2 x^{2} - 11 x - 12 = 0

Refine

2 x^{5} - 11 x - 12 = 0

Find one solution for

2 x^{5} - 11 x - 12 = 0

using Newton-Raphson:

x \approx 1.73047 \dots

Apply long division:

\frac{2 x ^{5} - 11 x - 12}{x - 1.73047 \dots} = 2 x^{4} + 3.46094 \dots x^{3} + 5.98907 \dots x^{2} + 10.36393 \dots x + 6.93451 \dots

2 x^{4} + 3.46094 \dots x^{3} + 5.98907 \dots x^{2} + 10.36393 \dots x + 6.93451 \dots \approx 0

Find one solution for

2 x^{4} + 3.46094 \dots x^{3} + 5.98907 \dots x^{2} + 10.36393 \dots x + 6.93451 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.73047 \dots

- x^{3} + 54 x^{2} - 6 x + 25 = 0

x^{5} + 5 x^{4} + 3 x^{2} + x + 6 = 0

\frac{x ^{5}}{3} = 1 0^{6}

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

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

What are the solutions to the equation x^32x^2-11x-12=0 ?
The solutions to the equation x^32x^2-11x-12=0 are x\approx 1.73047…
Find the zeros of x^32x^2-11x-12=0
The zeros of x^32x^2-11x-12=0 are x\approx 1.73047…