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if a is a positive integer, and if the units digit of a2 is 9 and the units digit of (a 1)2 is 4, what is the units digit of (a 2)2 ?

Sagot :

id1001265

Finding the variable (a) the unit digit of the equation (a+2)² is: 1

Information about the problem:

  • a = ?
  • a² = unit digit 9
  • (a+1)² = unit digit 4
  • (a+2)² = ?

To solve this problem, we have state de equations and find the positive integer that satisfies them:

Equation 1:

  • a² = unit digit 9

Finding a number that when square resulted in a value ended in 9, the options are:

7² = 49

3²= 9

Options for 1est equation: 7 or 3

Equation 2:

  • (a+1)² = unit digit 4

Finding a number that when summed with 1 and square resulted in a value ended in 4. Evaluating the 1est equation options, we have:

(7+1)² = unit digit 4

8² = unit digit 4

64 = unit digit 4 (correct)

(3+1)² = unit digit 4

4² = unit digit 4

16 = unit digit 4 (incorrect)

The value (a) that satisfied both equation is = 7

Substituting the value (a) in the equation (a+2)² the units digit is:

a = 7

(a+2)² =

(7+2)²

9² =

81=

Unit digit = 1

What is an equation?

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

Learn more about equation at: brainly.com/question/2972832 and brainly.com/question/27815607

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