What are the solutions to the equation 4x^3+25x=46x-10 ?

The solutions to the equation 4x^3+25x=46x-10 are x=2,x= 1/2 ,x=-5/2

Find the zeros of 4x^3+25x=46x-10

The zeros of 4x^3+25x=46x-10 are x=2,x= 1/2 ,x=-5/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4 x^{3} + 25 x = 46 x - 10

x = 2, x = \frac{1}{2}, x = - \frac{5}{2}

Decimal Notation

x = 2, x = 0.5, x = - 2.5

Solution steps

4 x^{3} + 25 x = 46 x - 10

Move

10

to the left side

4 x^{3} + 25 x + 10 = 46 x

Move

46 x

to the left side

4 x^{3} - 21 x + 10 = 0

Factor

4 x^{3} - 21 x + 10 : (x - 2) (2 x - 1) (2 x + 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 = 0 or 2 x - 1 = 0 or 2 x + 5 = 0

Solve

x - 2 = 0 : x = 2

Solve

2 x - 1 = 0 : x = \frac{1}{2}

Solve

2 x + 5 = 0 : x = - \frac{5}{2}

The solutions are

x = 2, x = \frac{1}{2}, x = - \frac{5}{2}

5 x^{3} - 12 x^{2} + 19 x - 6 = 0

x^{3} + 3 x^{2} - 4 x - 12

a x^{3}

m^{3} - 3 m^{2} + 2 m - 6 = 0

x^{4} + 2 x^{3} = 5 x^{2} + 6 x

What are the solutions to the equation 4x^3+25x=46x-10 ?
The solutions to the equation 4x^3+25x=46x-10 are x=2,x= 1/2 ,x=-5/2
Find the zeros of 4x^3+25x=46x-10
The zeros of 4x^3+25x=46x-10 are x=2,x= 1/2 ,x=-5/2