What are the solutions to the equation 5k^3=-10k^2+5k+10 ?

The solutions to the equation 5k^3=-10k^2+5k+10 are k=-2,k=-1,k=1

Find the zeros of 5k^3=-10k^2+5k+10

The zeros of 5k^3=-10k^2+5k+10 are k=-2,k=-1,k=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5 k^{3} = - 10 k^{2} + 5 k + 10

k = - 2, k = - 1, k = 1

Solution steps

5 k^{3} = - 10 k^{2} + 5 k + 10

Move

10

to the left side

5 k^{3} - 10 = - 10 k^{2} + 5 k

Move

5 k

to the left side

5 k^{3} - 10 - 5 k = - 10 k^{2}

Move

10 k^{2}

to the left side

5 k^{3} - 10 - 5 k + 10 k^{2} = 0

Write in the standard form

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

5 k^{3} + 10 k^{2} - 5 k - 10 = 0

Factor

5 k^{3} + 10 k^{2} - 5 k - 10 : 5 (k + 2) (k + 1) (k - 1)

5 (k + 2) (k + 1) (k - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

k + 2 = 0 or k + 1 = 0 or k - 1 = 0

Solve

k + 2 = 0 : k = - 2

Solve

k + 1 = 0 : k = - 1

Solve

k - 1 = 0 : k = 1

The solutions are

k = - 2, k = - 1, k = 1

x^{4} + x^{2} = 20

s^{4} + 9 s^{2} + 14 = 0

0 = x^{2} - 2 x^{3} - 10 x + 11

3 x^{4} + 5 x^{3} - 11 x^{2} + 2 x - 3 = 0

x^{2} (x^{2} - 81) - 49 (x^{2} - 81) = 0

What are the solutions to the equation 5k^3=-10k^2+5k+10 ?
The solutions to the equation 5k^3=-10k^2+5k+10 are k=-2,k=-1,k=1
Find the zeros of 5k^3=-10k^2+5k+10
The zeros of 5k^3=-10k^2+5k+10 are k=-2,k=-1,k=1