What are the solutions to the equation -7x^2-16x+112-x^3=0 ?

The solutions to the equation -7x^2-16x+112-x^3=0 are x\approx 2.67459…

Find the zeros of -7x^2-16x+112-x^3=0

The zeros of -7x^2-16x+112-x^3=0 are x\approx 2.67459…

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- 7 x^{2} - 16 x + 112 - x^{3} = 0

x \approx 2.67459 \dots

Solution steps

- 7 x^{2} - 16 x + 112 - x^{3} = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- x^{3} - 7 x^{2} - 16 x + 112 = 0

Find one solution for

- x^{3} - 7 x^{2} - 16 x + 112 = 0

using Newton-Raphson:

x \approx 2.67459 \dots

Apply long division:

\frac{- x ^{3} - 7 x ^{2} - 16 x + 112}{x - 2.67459 \dots} = - x^{2} - 9.67459 \dots x - 41.87556 \dots

- x^{2} - 9.67459 \dots x - 41.87556 \dots \approx 0

Find one solution for

- x^{2} - 9.67459 \dots x - 41.87556 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.67459 \dots

x^{3} = \frac{1}{2}

z^{3} = 8 i

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

g^{5} = 0.536

2 x^{3} + 7 x^{2} - 6 x - 3 = 0

What are the solutions to the equation -7x^2-16x+112-x^3=0 ?
The solutions to the equation -7x^2-16x+112-x^3=0 are x\approx 2.67459…
Find the zeros of -7x^2-16x+112-x^3=0
The zeros of -7x^2-16x+112-x^3=0 are x\approx 2.67459…