PLEASE HELP! Two numbers differ by six......

Two numbers differ by six. If the numbers are squared and then added, the result is 146. What are the numbers?

I wrote;

x equals the first number

x+6 equals the second number

equations= x²+ (x+6)²= 146


I have been trying to solve it butkeep getting 7 and 13 which don't work. Through guess and check I got 5 and 11 which is right but I don't know how to show that. Any help would be very appreciated.

Maryanne said:

I have been trying to solve it but keep getting 7 and 13....

Click to expand...

We'll be glad to help you find any errors in your work -- your set-up is fine --, but you'll need to post your work first.

Please be complete. Thank you.

Eliz.

x²+ (x+6)²= 146

x²+ x² + 36 = 146

2x² +36= 146

2x²= 110

x²= 55

square root:

x= 7.41.....

then I made that x and then added six to get 13.

Maryanne said:

x²+ (x+6)²= 146 Step 1

x²+ x² + 36 = 146 Step 2

Click to expand...

Step 2 is incorrect. (x + 6)(x + 6) is not x^2 + 36. If this was a genuine, and not a silly mistake, review expanding.

o right that was a dumb mistake thanks