What are the solutions to the equation x(x-4)(x-3)=4x ?

The solutions to the equation x(x-4)(x-3)=4x are x=0,x=(7+sqrt(17))/2 ,x=(7-sqrt(17))/2

Find the zeros of x(x-4)(x-3)=4x

The zeros of x(x-4)(x-3)=4x are x=0,x=(7+sqrt(17))/2 ,x=(7-sqrt(17))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x (x - 4) (x - 3) = 4 x

x = 0, x = \frac{7 + 17}{2}, x = \frac{7 - 17}{2}

Decimal Notation

x = 0, x = 5.56155 \dots, x = 1.43844 \dots

Solution steps

x (x - 4) (x - 3) = 4 x

Move

4 x

to the left side

x (x - 4) (x - 3) - 4 x = 0

Factor

x (x - 4) (x - 3) - 4 x : x (x^{2} - 7 x + 8)

x (x^{2} - 7 x + 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} - 7 x + 8 = 0

Solve

x^{2} - 7 x + 8 = 0 : x = \frac{7 + 17}{2}, x = \frac{7 - 17}{2}

The solutions are

x = 0, x = \frac{7 + 17}{2}, x = \frac{7 - 17}{2}

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

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

x^{4} - 9 x^{2} + 20 = 0

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

x^{4} - 65 x^{2} + 64 = 0

What are the solutions to the equation x(x-4)(x-3)=4x ?
The solutions to the equation x(x-4)(x-3)=4x are x=0,x=(7+sqrt(17))/2 ,x=(7-sqrt(17))/2
Find the zeros of x(x-4)(x-3)=4x
The zeros of x(x-4)(x-3)=4x are x=0,x=(7+sqrt(17))/2 ,x=(7-sqrt(17))/2