What are the solutions to the equation x^2-5x=2x^3-4x^2-x+6 ?

The solutions to the equation x^2-5x=2x^3-4x^2-x+6 are x\approx-0.70457…

Find the zeros of x^2-5x=2x^3-4x^2-x+6

The zeros of x^2-5x=2x^3-4x^2-x+6 are x\approx-0.70457…

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

x \approx - 0.70457 \dots

Solution steps

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

Switch sides

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

Move

5 x

to the left side

2 x^{3} - 4 x^{2} + 4 x + 6 = x^{2}

Move

x^{2}

to the left side

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

Find one solution for

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

using Newton-Raphson:

x \approx - 0.70457 \dots

Apply long division:

\frac{2 x ^{3} - 5 x ^{2} + 4 x + 6}{x + 0.70457 \dots} = 2 x^{2} - 6.40915 \dots x + 8.51574 \dots

2 x^{2} - 6.40915 \dots x + 8.51574 \dots \approx 0

Find one solution for

2 x^{2} - 6.40915 \dots x + 8.51574 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.70457 \dots

1200 = 600 x^{2} (3 - x)

x^{4} - 3 x^{2} = 10

w^{3} = 5

2 x^{4} + x^{3} - 7 x^{2} - 3 x + 3 = 0

7 x^{9} = (7 x^{10}) - (7 x)

What are the solutions to the equation x^2-5x=2x^3-4x^2-x+6 ?
The solutions to the equation x^2-5x=2x^3-4x^2-x+6 are x\approx-0.70457…
Find the zeros of x^2-5x=2x^3-4x^2-x+6
The zeros of x^2-5x=2x^3-4x^2-x+6 are x\approx-0.70457…