What are the solutions to the equation roots-2x^4+x^3-x^2+4x ?

The solutions to the equation roots-2x^4+x^3-x^2+4x are x=0,x\approx 1.29953…

Find the zeros of roots-2x^4+x^3-x^2+4x

The zeros of roots-2x^4+x^3-x^2+4x are x=0,x\approx 1.29953…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

roots

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

x = 0, x \approx 1.29953 \dots

Solution steps

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

The roots are the intercepts with the x-axis

(y = 0)

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

Factor

- 2 x^{4} + x^{3} - x^{2} + 4 x : - x (2 x^{3} - x^{2} + x - 4)

- x (2 x^{3} - x^{2} + x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

2 x^{3} - x^{2} + x - 4 = 0 : x \approx 1.29953 \dots

The solutions are

x = 0, x \approx 1.29953 \dots

- 3 x^{3} + 5 x^{2} - 27 x + 45 = 0

2 x^{4} - 9 x^{3} + 17 x^{2} - 36 x + 36 = 0

x^{4} + 7 x^{3} + 8 x^{2} - 7 x + 15 = 0

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

x^{3} + 5 x^{2} - 13 x + 7 = 0

What are the solutions to the equation roots-2x^4+x^3-x^2+4x ?
The solutions to the equation roots-2x^4+x^3-x^2+4x are x=0,x\approx 1.29953…
Find the zeros of roots-2x^4+x^3-x^2+4x
The zeros of roots-2x^4+x^3-x^2+4x are x=0,x\approx 1.29953…