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

The solutions to the equation x(x-2)=3 are x=3,x=-1

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

The zeros of x(x-2)=3 are x=3,x=-1

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x (x - 2) = 3

x = 3, x = - 1

Solution steps

x (x - 2) = 3

Expand

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

x^{2} - 2 x = 3

Move

3

to the left side

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

Solve with the quadratic formula

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

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

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

Separate the solutions

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

x = \frac{- ( - 2 ) + 4}{2 \cdot 1} : 3

x = \frac{- ( - 2 ) - 4}{2 \cdot 1} : - 1

The solutions to the quadratic equation are:

x = 3, x = - 1

3 - \frac{x}{8} = - 2

\frac{2}{3} y + \frac{1}{2} (y - 3) = \frac{y + 1}{4}

6 a^{3} - 378 a^{2} - 384 a

(2 x y - \frac{x}{y}) (x y^{2} + \frac{2 y}{x})

x^{2} + 8 x + 7

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