What are the solutions to the equation 5x^3-17x^2-x+30=0 ?

The solutions to the equation 5x^3-17x^2-x+30=0 are x=2,x=(7+sqrt(349))/(10),x=(7-sqrt(349))/(10)

Find the zeros of 5x^3-17x^2-x+30=0

The zeros of 5x^3-17x^2-x+30=0 are x=2,x=(7+sqrt(349))/(10),x=(7-sqrt(349))/(10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 x^{3} - 17 x^{2} - x + 30 = 0

x = 2, x = \frac{7 + 349}{10}, x = \frac{7 - 349}{10}

Decimal Notation

x = 2, x = 2.56815 \dots, x = - 1.16815 \dots

Solution steps

5 x^{3} - 17 x^{2} - x + 30 = 0

Factor

5 x^{3} - 17 x^{2} - x + 30 : (x - 2) (5 x^{2} - 7 x - 15)

(x - 2) (5 x^{2} - 7 x - 15) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or 5 x^{2} - 7 x - 15 = 0

Solve

x - 2 = 0 : x = 2

Solve

5 x^{2} - 7 x - 15 = 0 : x = \frac{7 + 349}{10}, x = \frac{7 - 349}{10}

The solutions are

x = 2, x = \frac{7 + 349}{10}, x = \frac{7 - 349}{10}

x^{4} - 10 x + 9 = 0

a^{4} - 5 a^{2} + 4 = 0

y^{3} = - 343

x^{3} + x^{2} - 16 x - 16 = 0

4 x^{3} + 4 x^{2} - x - 1 = 0

What are the solutions to the equation 5x^3-17x^2-x+30=0 ?
The solutions to the equation 5x^3-17x^2-x+30=0 are x=2,x=(7+sqrt(349))/(10),x=(7-sqrt(349))/(10)
Find the zeros of 5x^3-17x^2-x+30=0
The zeros of 5x^3-17x^2-x+30=0 are x=2,x=(7+sqrt(349))/(10),x=(7-sqrt(349))/(10)