What are the solutions to the equation 5x^4-6x+1=0 ?

The solutions to the equation 5x^4-6x+1=0 are x=1,x\approx 0.16731…

Find the zeros of 5x^4-6x+1=0

The zeros of 5x^4-6x+1=0 are x=1,x\approx 0.16731…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 x^{4} - 6 x + 1 = 0

x = 1, x \approx 0.16731 \dots

Solution steps

5 x^{4} - 6 x + 1 = 0

Factor

5 x^{4} - 6 x + 1 : (x - 1) (5 x^{3} + 5 x^{2} + 5 x - 1)

(x - 1) (5 x^{3} + 5 x^{2} + 5 x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or 5 x^{3} + 5 x^{2} + 5 x - 1 = 0

Solve

x - 1 = 0 : x = 1

Solve

5 x^{3} + 5 x^{2} + 5 x - 1 = 0 : x \approx 0.16731 \dots

The solutions are

x = 1, x \approx 0.16731 \dots

x^{4} + x^{3} + x^{2} + x + 1

12 x^{3} - 12 x = 0

x^{3} - 102 = 410

1 + y + y^{3} = 1

y, a^{2} - 3 a y^{2} + 3 y^{4} - b = 0

What are the solutions to the equation 5x^4-6x+1=0 ?
The solutions to the equation 5x^4-6x+1=0 are x=1,x\approx 0.16731…
Find the zeros of 5x^4-6x+1=0
The zeros of 5x^4-6x+1=0 are x=1,x\approx 0.16731…