What are the solutions to the equation (x-6)x=16 ?

The solutions to the equation (x-6)x=16 are x=8,x=-2

Find the zeros of (x-6)x=16

The zeros of (x-6)x=16 are x=8,x=-2

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(x - 6) x = 16

x = 8, x = - 2

Solution steps

(x - 6) x = 16

Expand

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

x^{2} - 6 x = 16

Move

16

to the left side

x^{2} - 6 x - 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 1 \cdot ( - 16 )}{2 \cdot 1}

(- 6)^{2} - 4 \cdot 1 \cdot (- 16) = 10

x_{1, 2} = \frac{- ( - 6 ) \pm 10}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 10}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 10}{2 \cdot 1}

x = \frac{- ( - 6 ) + 10}{2 \cdot 1} : 8

x = \frac{- ( - 6 ) - 10}{2 \cdot 1} : - 2

The solutions to the quadratic equation are:

x = 8, x = - 2

y, \frac{x ^{2}}{25} + \frac{y ^{2}}{16} = 1

y^{2} - 40 y = 0

- 2 x^{2} - 5 x + 6 = 0

3 x^{2} + 3 x - 126 = 0

11 x = - x^{2} - 24

What are the solutions to the equation (x-6)x=16 ?
The solutions to the equation (x-6)x=16 are x=8,x=-2
Find the zeros of (x-6)x=16
The zeros of (x-6)x=16 are x=8,x=-2