What are the solutions to the equation x(x-1)-5(x-2)=2 ?

The solutions to the equation x(x-1)-5(x-2)=2 are x=4,x=2

Find the zeros of x(x-1)-5(x-2)=2

The zeros of x(x-1)-5(x-2)=2 are x=4,x=2

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x (x - 1) - 5 (x - 2) = 2

x = 4, x = 2

Solution steps

x (x - 1) - 5 (x - 2) = 2

Expand

x (x - 1) - 5 (x - 2) : x^{2} - 6 x + 10

x^{2} - 6 x + 10 = 2

Move

2

to the left side

x^{2} - 6 x + 8 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot 8}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot 8 = 2

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

Separate the solutions

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

x = \frac{- ( - 6 ) + 2}{2 \cdot 1} : 4

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

The solutions to the quadratic equation are:

x = 4, x = 2

6 x - x^{2} = 8

\frac{2}{- 6}

\frac{x + 1}{2} - \frac{x + 2}{3} + \frac{x + 3}{5} = 0

\frac{4}{5} - 3

p^{2} - 4 k^{2}

What are the solutions to the equation x(x-1)-5(x-2)=2 ?
The solutions to the equation x(x-1)-5(x-2)=2 are x=4,x=2
Find the zeros of x(x-1)-5(x-2)=2
The zeros of x(x-1)-5(x-2)=2 are x=4,x=2