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if 2 times a number is subtracted from the square of the same number, the result is at most 80. find the greatest possible number

Solution

if 2 times a number is subtracted from the square of the same number, the result is at most 80. find the greatest possible number

Solution

- 8 \leq x \leq 10

Solution steps

Represent the number with

x

A.T.Q.:

x^{2} - 2 x \leq 80

Solve for

x, x^{2} - 2 x \leq 80 : - 8 \leq x \leq 10

- 8 \leq x \leq 10

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