What are the solutions to the equation roots 5x^3-7x+2 ?

The solutions to the equation roots 5x^3-7x+2 are x=1,x=(-5+sqrt(65))/(10),x=(-5-sqrt(65))/(10)

Find the zeros of roots 5x^3-7x+2

The zeros of roots 5x^3-7x+2 are x=1,x=(-5+sqrt(65))/(10),x=(-5-sqrt(65))/(10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

roots

5 x^{3} - 7 x + 2

x = 1, x = \frac{- 5 + 65}{10}, x = \frac{- 5 - 65}{10}

Solution steps

5 x^{3} - 7 x + 2

The roots are the intercepts with the x-axis

(y = 0)

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

Factor

5 x^{3} - 7 x + 2 : (x - 1) (5 x^{2} + 5 x - 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 1 = 0 : x = 1

Solve

5 x^{2} + 5 x - 2 = 0 : x = \frac{- 5 + 65}{10}, x = \frac{- 5 - 65}{10}

The solutions are

x = 1, x = \frac{- 5 + 65}{10}, x = \frac{- 5 - 65}{10}

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

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

4 x^{4} - 2 x^{2} + 1 = 0

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

2 d^{243} d = 84

What are the solutions to the equation roots 5x^3-7x+2 ?
The solutions to the equation roots 5x^3-7x+2 are x=1,x=(-5+sqrt(65))/(10),x=(-5-sqrt(65))/(10)
Find the zeros of roots 5x^3-7x+2
The zeros of roots 5x^3-7x+2 are x=1,x=(-5+sqrt(65))/(10),x=(-5-sqrt(65))/(10)