What are the solutions to the equation x+3x(x-2)=5 ?

The solutions to the equation x+3x(x-2)=5 are x=(5+sqrt(85))/6 ,x=(5-sqrt(85))/6

Find the zeros of x+3x(x-2)=5

The zeros of x+3x(x-2)=5 are x=(5+sqrt(85))/6 ,x=(5-sqrt(85))/6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x + 3 x (x - 2) = 5

x = \frac{5 + 85}{6}, x = \frac{5 - 85}{6}

Decimal Notation

x = 2.36992 \dots, x = - 0.70325 \dots

Solution steps

x + 3 x (x - 2) = 5

Expand

x + 3 x (x - 2) : 3 x^{2} - 5 x

3 x^{2} - 5 x = 5

Move

5

to the left side

3 x^{2} - 5 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 5 ) \pm ( - 5 ) ^{2} - 4 \cdot 3 ( - 5 )}{2 \cdot 3}

(- 5)^{2} - 4 \cdot 3 (- 5) = 85

x_{1, 2} = \frac{- ( - 5 ) \pm 85}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 85}{2 \cdot 3}, x_{2} = \frac{- ( - 5 ) - 85}{2 \cdot 3}

x = \frac{- ( - 5 ) + 85}{2 \cdot 3} : \frac{5 + 85}{6}

x = \frac{- ( - 5 ) - 85}{2 \cdot 3} : \frac{5 - 85}{6}

The solutions to the quadratic equation are:

x = \frac{5 + 85}{6}, x = \frac{5 - 85}{6}

3 x^{2} + 60 x + 300 = 0

4 t^{2} - 24 t = 0

10 k^{2} = 50

- 2 x^{2} - 42 x = - 10 x + 126

(X + 4)^{2} = 9 (X + 3)

What are the solutions to the equation x+3x(x-2)=5 ?
The solutions to the equation x+3x(x-2)=5 are x=(5+sqrt(85))/6 ,x=(5-sqrt(85))/6
Find the zeros of x+3x(x-2)=5
The zeros of x+3x(x-2)=5 are x=(5+sqrt(85))/6 ,x=(5-sqrt(85))/6