Answer:
The numbers are 1 and 3
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
Hope this helps you
