What are the solutions to the equation 5x^3+8x^2-9x+2=0 ?

The solutions to the equation 5x^3+8x^2-9x+2=0 are x= 2/5 ,x=-1+sqrt(2),x=-1-sqrt(2)

Find the zeros of 5x^3+8x^2-9x+2=0

The zeros of 5x^3+8x^2-9x+2=0 are x= 2/5 ,x=-1+sqrt(2),x=-1-sqrt(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 x^{3} + 8 x^{2} - 9 x + 2 = 0

x = \frac{2}{5}, x = - 1 + 2, x = - 1 - 2

Decimal Notation

x = 0.4, x = 0.41421 \dots, x = - 2.41421 \dots

Solution steps

5 x^{3} + 8 x^{2} - 9 x + 2 = 0

Factor

5 x^{3} + 8 x^{2} - 9 x + 2 : (5 x - 2) (x^{2} + 2 x - 1)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

5 x - 2 = 0 : x = \frac{2}{5}

Solve

x^{2} + 2 x - 1 = 0 : x = - 1 + 2, x = - 1 - 2

The solutions are

x = \frac{2}{5}, x = - 1 + 2, x = - 1 - 2

x^{3} + 5 x^{2} + 3 x + 15 = 0

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

x^{3} - 7 x^{2} + 15 x - 9

2 x^{4} = 4 x - 8

x^{3} - 5 x^{2} - 9 x + 45

What are the solutions to the equation 5x^3+8x^2-9x+2=0 ?
The solutions to the equation 5x^3+8x^2-9x+2=0 are x= 2/5 ,x=-1+sqrt(2),x=-1-sqrt(2)
Find the zeros of 5x^3+8x^2-9x+2=0
The zeros of 5x^3+8x^2-9x+2=0 are x= 2/5 ,x=-1+sqrt(2),x=-1-sqrt(2)