SOLUTION: Two numbers have a difference of 6. Their product is 775. What are the two numbers?

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Question 402980: Two numbers have a difference of 6. Their product is 775. What are the two numbers?
Found 2 solutions by Alan3354, Tatiana_Stebko:
Answer by Alan3354(69443) About Me  (Show Source):
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
If one number is x, second is (x+6)
Their product is x%2A%28x%2B6%29=x%5E2%2B6x
Equation
x%5E2%2B6x=775
x%5E2%2B6x-775=0
x+=+%28-6+%2B-+sqrt%28+6%5E2-4%2A1%2A%28-775%29%29%29%2F%282%2A1%29+
x+=+%28-6+%2B-+sqrt%28+3136%29%29%29%2F2+
x1+=+%28-6+%2B+56%29%2F2+ x2+=+%28-6+-+56%29%2F2+
x1+=+25+ x2+=+-31+
If x1+=+25+ - is the first number, then the second number is 25%2B6=31
If x2+=+-31+ is the first number, then the second number is -31%2B6=-25
Answer (25;31) or (-31;-25)