What are the solutions to the equation x(x-6)=-3 ?

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

Find the zeros of x(x-6)=-3

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x (x - 6) = - 3

x = 3 + 6, x = 3 - 6

Decimal Notation

x = 5.44948 \dots, x = 0.55051 \dots

Solution steps

x (x - 6) = - 3

Expand

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

x^{2} - 6 x = - 3

Move

3

to the left side

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

Solve with the quadratic formula

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

(- 6)^{2} - 4 \cdot 1 \cdot 3 = 26

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

Separate the solutions

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

x = \frac{- ( - 6 ) + 2 6}{2 \cdot 1} : 3 + 6

x = \frac{- ( - 6 ) - 2 6}{2 \cdot 1} : 3 - 6

The solutions to the quadratic equation are:

x = 3 + 6, x = 3 - 6

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

x^{2} - 8 x + 15 = 0

n^{2} + 6 n - 27 = 0

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

- 5 x^{2} + 9 x + 2 = 0

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