What are the solutions to the equation 2-15x+9x^2-x^3=0 ?

The solutions to the equation 2-15x+9x^2-x^3=0 are x=2,x=(7+3sqrt(5))/2 ,x=(7-3sqrt(5))/2

Find the zeros of 2-15x+9x^2-x^3=0

The zeros of 2-15x+9x^2-x^3=0 are x=2,x=(7+3sqrt(5))/2 ,x=(7-3sqrt(5))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2 - 15 x + 9 x^{2} - x^{3} = 0

x = 2, x = \frac{7 + 3 5}{2}, x = \frac{7 - 3 5}{2}

Decimal Notation

x = 2, x = 6.85410 \dots, x = 0.14589 \dots

Solution steps

2 - 15 x + 9 x^{2} - x^{3} = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- x^{3} + 9 x^{2} - 15 x + 2 = 0

Factor

- x^{3} + 9 x^{2} - 15 x + 2 : - (x - 2) (x^{2} - 7 x + 1)

- (x - 2) (x^{2} - 7 x + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or x^{2} - 7 x + 1 = 0

Solve

x - 2 = 0 : x = 2

Solve

x^{2} - 7 x + 1 = 0 : x = \frac{7 + 3 5}{2}, x = \frac{7 - 3 5}{2}

The solutions are

x = 2, x = \frac{7 + 3 5}{2}, x = \frac{7 - 3 5}{2}

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

x (9 + x) (x - 2) = 4

x^{4} - 5 x^{2} - 10 x - 6 = 0

100 x^{3} - 45 x^{2} - 58 x + 24 = 0

9 z^{3} + 13 z - 2022 = 0

What are the solutions to the equation 2-15x+9x^2-x^3=0 ?
The solutions to the equation 2-15x+9x^2-x^3=0 are x=2,x=(7+3sqrt(5))/2 ,x=(7-3sqrt(5))/2
Find the zeros of 2-15x+9x^2-x^3=0
The zeros of 2-15x+9x^2-x^3=0 are x=2,x=(7+3sqrt(5))/2 ,x=(7-3sqrt(5))/2