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I'm thinking of a number. My number has the property that its square is equal to $270$ more than five times the number. Enter all numbers that have this property.

 Feb 18, 2024

Best Answer 

 #1
avatar+1632 
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Let your number be x, a variable. x has the property that x^2 = 5x + 270; x^2 - 5x - 270 = 0

By quadratic formula, \(x = {5\pm5\sqrt{55}\over2}\), which are your two numbers that you may be thinking of.

 Feb 19, 2024
 #1
avatar+1632 
+1
Best Answer

Let your number be x, a variable. x has the property that x^2 = 5x + 270; x^2 - 5x - 270 = 0

By quadratic formula, \(x = {5\pm5\sqrt{55}\over2}\), which are your two numbers that you may be thinking of.

proyaop Feb 19, 2024

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