What are the solutions to the equation -x^3+5x^2-3x=1 ?

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

Find the zeros of -x^3+5x^2-3x=1

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

x = 1, x = 2 + 5, x = 2 - 5

Decimal Notation

x = 1, x = 4.23606 \dots, x = - 0.23606 \dots

Solution steps

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

Move

1

to the left side

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

Factor

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

- (x - 1) (x^{2} - 4 x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x - 1 = 0 : x = 1

Solve

x^{2} - 4 x - 1 = 0 : x = 2 + 5, x = 2 - 5

The solutions are

x = 1, x = 2 + 5, x = 2 - 5

x^{3} - 3 x^{2} - 6 x - 8 = 0

5 x^{3} = 8 x^{2}

x^{3} - 12 x^{2} + 39 x - 28 = 0

42 = 42 + 9 b^{4} 2 + 9 b

x^{3} - 4 x^{2} - 10 = 0

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