What are the solutions to the equation 15x-10=6x-(xx^2)+(-x+3) ?

The solutions to the equation 15x-10=6x-(xx^2)+(-x+3) are x\approx 1.14850…

Find the zeros of 15x-10=6x-(xx^2)+(-x+3)

The zeros of 15x-10=6x-(xx^2)+(-x+3) are x\approx 1.14850…

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15 x - 10 = 6 x - (x x^{2}) + (- x + 3)

x \approx 1.14850 \dots

Solution steps

15 x - 10 = 6 x - (x x^{2}) + (- x + 3)

Refine

15 x - 10 = - x^{3} + 5 x + 3

Switch sides

- x^{3} + 5 x + 3 = 15 x - 10

Move

10

to the left side

- x^{3} + 5 x + 13 = 15 x

Move

15 x

to the left side

- x^{3} - 10 x + 13 = 0

Find one solution for

- x^{3} - 10 x + 13 = 0

using Newton-Raphson:

x \approx 1.14850 \dots

Apply long division:

\frac{- x ^{3} - 10 x + 13}{x - 1.14850 \dots} = - x^{2} - 1.14850 \dots x - 11.31906 \dots

- x^{2} - 1.14850 \dots x - 11.31906 \dots \approx 0

Find one solution for

- x^{2} - 1.14850 \dots x - 11.31906 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.14850 \dots

13 x^{2} - 16 x = 4

(2 x - 1) (x - 2) = 5

- 5 x^{2} + 9 = 0

- 8 x^{2} + 2 x + 10

a^{2} + 3. 4^{2} = 5. 6^{2}

What are the solutions to the equation 15x-10=6x-(xx^2)+(-x+3) ?
The solutions to the equation 15x-10=6x-(xx^2)+(-x+3) are x\approx 1.14850…
Find the zeros of 15x-10=6x-(xx^2)+(-x+3)
The zeros of 15x-10=6x-(xx^2)+(-x+3) are x\approx 1.14850…