2 years ago

The difference of the square of a number and 16 is equal to 6 times that number. Find the negative solution.

Mathematics

1 answer:

melamori03 [73]2 years ago

4 0

Answer:

The negative solution is -2

Step-by-step explanation:

Let the number be x

x² - 16 = 6x

Equate the equation to zero (0)

x² - 6x -16 = 0

Factorize

x² + 2x -8x - 16 = 0

x(x + 2) -8(x + 2) = 0

Therefore,

(x-8) (x +2) = 0

x -8 = 0 or x +2 = 0

x = 8 or x = -2

The negative solution is -2

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