The square of a number is 3 less than four times the number. Which values could be the number?

Step-by-step explanation:

Let the number be x

The statement

The square of a number is 3 less than four times the number is written as

x² = 4x - 3

Solve the quadratic equation

We have

x² - 4x + 3 = 0

Write - 4x as a difference

That's

x² - x - 3x - 3 = 0

Factorize the expression

That's

x( x - 1) - 3( x - 1) = 0

( x - 1)( x - 3) = 0

x - 1 = 0 x - 3 = 0

x = 1 x = 3

The numbers are 1 and 3

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