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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3 x (x - 2) = 5

x = \frac{3 + 2 6}{3}, x = \frac{3 - 2 6}{3}

Decimal Notation

x = 2.63299 \dots, x = - 0.63299 \dots

Solution steps

3 x (x - 2) = 5

Expand

3 x (x - 2) : 3 x^{2} - 6 x

3 x^{2} - 6 x = 5

Move

5

to the left side

3 x^{2} - 6 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 3 ( - 5 )}{2 \cdot 3}

(- 6)^{2} - 4 \cdot 3 (- 5) = 46

x_{1, 2} = \frac{- ( - 6 ) \pm 4 6}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 4 6}{2 \cdot 3}, x_{2} = \frac{- ( - 6 ) - 4 6}{2 \cdot 3}

x = \frac{- ( - 6 ) + 4 6}{2 \cdot 3} : \frac{3 + 2 6}{3}

x = \frac{- ( - 6 ) - 4 6}{2 \cdot 3} : \frac{3 - 2 6}{3}

The solutions to the quadratic equation are:

x = \frac{3 + 2 6}{3}, x = \frac{3 - 2 6}{3}

x, f (x + 3) = x^{2} + 3 x + 5

(p + 8)^{2} = 144

4 d^{2} - 5 d - 3 = 2 d

(x + 7) (x - 4) = 0

8 x^{2} - 7 x - 18 = 0

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