What are the solutions to the equation x(x-4)=5 ?

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

Find the zeros of x(x-4)=5

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

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x (x - 4) = 5

x = 5, x = - 1

Solution steps

x (x - 4) = 5

Expand

x (x - 4) : x^{2} - 4 x

x^{2} - 4 x = 5

Move

5

to the left side

x^{2} - 4 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 1 \cdot ( - 5 )}{2 \cdot 1}

(- 4)^{2} - 4 \cdot 1 \cdot (- 5) = 6

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

Separate the solutions

x_{1} = \frac{- ( - 4 ) + 6}{2 \cdot 1}, x_{2} = \frac{- ( - 4 ) - 6}{2 \cdot 1}

x = \frac{- ( - 4 ) + 6}{2 \cdot 1} : 5

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

The solutions to the quadratic equation are:

x = 5, x = - 1

25 c^{2} - 20 c + 4

\frac{X}{4} + \frac{X}{3} \leq 90

\frac{5}{2 5 - 6}

- 4 \leq x < 5

\frac{1}{2 - 3 ( \frac{1}{4} )}

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