What are the solutions to the equation x(2x-3)=18 ?

The solutions to the equation x(2x-3)=18 are x=(3+3sqrt(17))/4 ,x=(3-3sqrt(17))/4

Find the zeros of x(2x-3)=18

The zeros of x(2x-3)=18 are x=(3+3sqrt(17))/4 ,x=(3-3sqrt(17))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x (2 x - 3) = 18

x = \frac{3 + 3 17}{4}, x = \frac{3 - 3 17}{4}

Decimal Notation

x = 3.84232 \dots, x = - 2.34232 \dots

Solution steps

x (2 x - 3) = 18

Expand

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

2 x^{2} - 3 x = 18

Move

18

to the left side

2 x^{2} - 3 x - 18 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 2 ( - 18 )}{2 \cdot 2}

(- 3)^{2} - 4 \cdot 2 (- 18) = 317

x_{1, 2} = \frac{- ( - 3 ) \pm 3 17}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 3 17}{2 \cdot 2}, x_{2} = \frac{- ( - 3 ) - 3 17}{2 \cdot 2}

x = \frac{- ( - 3 ) + 3 17}{2 \cdot 2} : \frac{3 + 3 17}{4}

x = \frac{- ( - 3 ) - 3 17}{2 \cdot 2} : \frac{3 - 3 17}{4}

The solutions to the quadratic equation are:

x = \frac{3 + 3 17}{4}, x = \frac{3 - 3 17}{4}

- 5 x^{2} + 60 x - 405 = 0

- 3 b^{2} + b - A = 0

4 x^{2} - 6 x + 5 = x + 1

2 x^{2} + 18 = 90

x^{2} + 3 x - 21 = 0

What are the solutions to the equation x(2x-3)=18 ?
The solutions to the equation x(2x-3)=18 are x=(3+3sqrt(17))/4 ,x=(3-3sqrt(17))/4
Find the zeros of x(2x-3)=18
The zeros of x(2x-3)=18 are x=(3+3sqrt(17))/4 ,x=(3-3sqrt(17))/4