What are the solutions to the equation x(x-4)=60 ?

The solutions to the equation x(x-4)=60 are x=10,x=-6

Find the zeros of x(x-4)=60

The zeros of x(x-4)=60 are x=10,x=-6

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x (x - 4) = 60

x = 10, x = - 6

Solution steps

x (x - 4) = 60

Expand

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

x^{2} - 4 x = 60

Move

60

to the left side

x^{2} - 4 x - 60 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 1 \cdot ( - 60 )}{2 \cdot 1}

(- 4)^{2} - 4 \cdot 1 \cdot (- 60) = 16

x_{1, 2} = \frac{- ( - 4 ) \pm 16}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 4 ) + 16}{2 \cdot 1}, x_{2} = \frac{- ( - 4 ) - 16}{2 \cdot 1}

x = \frac{- ( - 4 ) + 16}{2 \cdot 1} : 10

x = \frac{- ( - 4 ) - 16}{2 \cdot 1} : - 6

The solutions to the quadratic equation are:

x = 10, x = - 6

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What are the solutions to the equation x(x-4)=60 ?
The solutions to the equation x(x-4)=60 are x=10,x=-6
Find the zeros of x(x-4)=60
The zeros of x(x-4)=60 are x=10,x=-6