What are the solutions to the equation 7x+x^2(x-13)=6 ?

The solutions to the equation 7x+x^2(x-13)=6 are x\approx 12.47752…

Find the zeros of 7x+x^2(x-13)=6

The zeros of 7x+x^2(x-13)=6 are x\approx 12.47752…

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7 x + x^{2} (x - 13) = 6

x \approx 12.47752 \dots

Solution steps

7 x + x^{2} (x - 13) = 6

Expand

7 x + x^{2} (x - 13) : 7 x + x^{3} - 13 x^{2}

7 x + x^{3} - 13 x^{2} = 6

Move

6

to the left side

7 x + x^{3} - 13 x^{2} - 6 = 0

Write in the standard form

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

x^{3} - 13 x^{2} + 7 x - 6 = 0

Find one solution for

x^{3} - 13 x^{2} + 7 x - 6 = 0

using Newton-Raphson:

No Solution for

x \in R

x \approx 12.47752 \dots

The solution is

x \approx 12.47752 \dots

- 2 x^{4} + 9 = 3 x - 2

4 x^{3} - x^{2} + 36 x - 9 = 0

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

x^{4} = 3

x^{4} = 8

What are the solutions to the equation 7x+x^2(x-13)=6 ?
The solutions to the equation 7x+x^2(x-13)=6 are x\approx 12.47752…
Find the zeros of 7x+x^2(x-13)=6
The zeros of 7x+x^2(x-13)=6 are x\approx 12.47752…