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Determine the solution for x^2 + 36 > 12x

1 Answer

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Answer:

(6, ∞)

(-∞, 6)

Explanation:

x^2 + 36 > 12x

Subtract 12 x from each side

x^2 -12 x+ 36 > 12x-12x

x^2 -12 x+ 36 > 0

Factor

What 2 numbers multiply together to give us 36 and add together to give us 12

-6*-6 = 36

-6+-6 = 12

(x-6) ^2 > 0

Take the square root of each side

x-6 >0 or x-6 <0

x>6 or x < 6

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