SOLUTION: When the sum of a number plus 3 is squared, it is 13 more than the sum of the number plus 2 when squared.

Question 202155: When the sum of a number plus 3 is squared, it is 13 more than the sum of the number plus 2 when squared.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let n = the required number, so...
Expand.
Subtract from both sides.
Subtract 4n from both sides.
Subtract 9 from both sides.
Finally, divide both sides by 2.

Check:
Substitute n = 4.
Evaluate.

OK!
RELATED QUESTIONS
When the sum of a number plus 3 is squared it is 11 more than the sum of the number plus... (answered by Fombitz)

When the sum of a number plus 3 is squared, it is 9 more than the sum of the number plus... (answered by stanbon)

When the sum of a number plus 3 is squared, it is 9 more than the sum of the number plus... (answered by josgarithmetic)

What is the sum of a number plus 3 is squared, it is 9 more than the sum of the number... (answered by ikleyn)

when the sum of a number plus 2 is squared, it is 16 more than the square of that number. (answered by math-vortex)

The sum of a number squared and 3 less than twice the number is... (answered by ikleyn)

twice a number plus three times the sum of 2 and the number is thirty one. what is the... (answered by Greenfinch)

Bob was thinking of a number between 5 and 15 that when squared and added to 23 equals... (answered by ankor@dixie-net.com)

One divded by the sum of a number and 4 plus one divided by the difference of a number... (answered by stanbon)