What are the solutions to the equation 3x^3-2x^2-21x+14=0 ?

The solutions to the equation 3x^3-2x^2-21x+14=0 are x= 2/3 ,x=-sqrt(7),x=sqrt(7)

Find the zeros of 3x^3-2x^2-21x+14=0

The zeros of 3x^3-2x^2-21x+14=0 are x= 2/3 ,x=-sqrt(7),x=sqrt(7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 x^{3} - 2 x^{2} - 21 x + 14 = 0

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

Decimal Notation

x = 0.66666 \dots, x = - 2.64575 \dots, x = 2.64575 \dots

Solution steps

3 x^{3} - 2 x^{2} - 21 x + 14 = 0

Factor

3 x^{3} - 2 x^{2} - 21 x + 14 : (3 x - 2) (x + 7) (x - 7)

(3 x - 2) (x + 7) (x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 x - 2 = 0 or x + 7 = 0 or x - 7 = 0

Solve

3 x - 2 = 0 : x = \frac{2}{3}

Solve

x + 7 = 0 : x = - 7

Solve

x - 7 = 0 : x = 7

The solutions are

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

473 = \frac{7 π x ^{3}}{48}

x^{4} - 7 = 0

6 t (t^{3} - 1) = 7 t^{2} (2 t - 1) - 5 t

z, (z - 1)^{4} = - 1

18 = b (\frac{2 b}{3})^{2}

What are the solutions to the equation 3x^3-2x^2-21x+14=0 ?
The solutions to the equation 3x^3-2x^2-21x+14=0 are x= 2/3 ,x=-sqrt(7),x=sqrt(7)
Find the zeros of 3x^3-2x^2-21x+14=0
The zeros of 3x^3-2x^2-21x+14=0 are x= 2/3 ,x=-sqrt(7),x=sqrt(7)