find a positive number that is 42 less than its square.

Mathematics · Middle School · Tue Nov 03 2020

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Given:

A positive number that is 42 less than its square.

Find the number.

Solution:

In order to find the number, we can write the equation as,

x = missing number.

x^2 - 42 

To find the number, we transpose -42 to the opposite side of the equation, hence it must be taken to note that in transposing a number, the sign changes.

x^2 = 42

Take the square root of both sides in order to determine the value of x.

(x^2)^½ = (42)^½

x = 6.5

Final answer:

The number is 6.5.