What are the solutions to the equation 9x(x-6)=81 ?

The solutions to the equation 9x(x-6)=81 are x=3(1+sqrt(2)),x=3(1-sqrt(2))

Find the zeros of 9x(x-6)=81

The zeros of 9x(x-6)=81 are x=3(1+sqrt(2)),x=3(1-sqrt(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9 x (x - 6) = 81

x = 3 (1 + 2), x = 3 (1 - 2)

Decimal Notation

x = 7.24264 \dots, x = - 1.24264 \dots

Solution steps

9 x (x - 6) = 81

Expand

9 x (x - 6) : 9 x^{2} - 54 x

9 x^{2} - 54 x = 81

Move

81

to the left side

9 x^{2} - 54 x - 81 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 54 ) \pm ( - 54 ) ^{2} - 4 \cdot 9 ( - 81 )}{2 \cdot 9}

(- 54)^{2} - 4 \cdot 9 (- 81) = 542

x_{1, 2} = \frac{- ( - 54 ) \pm 54 2}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- ( - 54 ) + 54 2}{2 \cdot 9}, x_{2} = \frac{- ( - 54 ) - 54 2}{2 \cdot 9}

x = \frac{- ( - 54 ) + 54 2}{2 \cdot 9} : 3 (1 + 2)

x = \frac{- ( - 54 ) - 54 2}{2 \cdot 9} : 3 (1 - 2)

The solutions to the quadratic equation are:

x = 3 (1 + 2), x = 3 (1 - 2)

100 x^{4} - 60 x^{2} y + 9 y^{2}

(x - 4)^{2} = (x + 2) (x - 6)

1 + 0.4 x - 0.45 x^{2} = 0

2 (x + 2) - 3 (5 - x) = x + 5 (x - 3)

12 \cdot \frac{1}{2}

What are the solutions to the equation 9x(x-6)=81 ?
The solutions to the equation 9x(x-6)=81 are x=3(1+sqrt(2)),x=3(1-sqrt(2))
Find the zeros of 9x(x-6)=81
The zeros of 9x(x-6)=81 are x=3(1+sqrt(2)),x=3(1-sqrt(2))