What are the solutions to the equation roots x^3-3.0909x+2.0909 ?

The solutions to the equation roots x^3-3.0909x+2.0909 are x=1,x= 103/100 ,x=-203/100

Find the zeros of roots x^3-3.0909x+2.0909

The zeros of roots x^3-3.0909x+2.0909 are x=1,x= 103/100 ,x=-203/100

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

roots

x^{3} - 3.0909 x + 2.0909

x = 1, x = \frac{103}{100}, x = - \frac{203}{100}

Solution steps

x^{3} - 3.0909 x + 2.0909

The roots are the intercepts with the x-axis

(y = 0)

x^{3} - 3.0909 x + 2.0909 = 0

Find one solution for

x^{3} - 3.0909 x + 2.0909 = 0

using Newton-Raphson:

x \approx 1.00000 \dots

Apply long division:

\frac{x ^{3} - 3.0909 x + 2.0909}{x - 1} = x^{2} + x - 2.0909

x^{2} + x - 2.0909 \approx 0

Find one solution for

x^{2} + x - 2.0909 = 0

using Newton-Raphson:

x \approx 1.03000 \dots

Apply long division:

\frac{x ^{2} + x - 2.0909}{x - 1.03} = x + 2.03

x + 2.03 \approx 0

x \approx - 2.03

Approximate to algebraic form

x = - \frac{203}{100}

Approximate to algebraic form

x \approx 1.00000 \dots : x = 1

x \approx 1.03000 \dots : x = \frac{103}{100}

x = 1, x = \frac{103}{100}, x = - \frac{203}{100}

The solutions are

x = 1, x = \frac{103}{100}, x = - \frac{203}{100}

- 4 a^{3} + 12 a^{2} - 12 a + \frac{7}{2}

12 x^{3} + 24 x^{2} - 36 x = 0

y, x^{3} + 4 x y^{2} - 27 = y^{4}

x^{6} - x^{3} - 2

z^{3} = (- 1 - 3 i)

What are the solutions to the equation roots x^3-3.0909x+2.0909 ?
The solutions to the equation roots x^3-3.0909x+2.0909 are x=1,x= 103/100 ,x=-203/100
Find the zeros of roots x^3-3.0909x+2.0909
The zeros of roots x^3-3.0909x+2.0909 are x=1,x= 103/100 ,x=-203/100