Asked by jaclyn
                the difference of two numbers is 5. their product is 176. what are the numbers ?  i've been trying to figure this out for a while and can't come out with the right answer.
            
            
        Answers
                    Answered by
            Ms. Sue
            
    Start with the square root of 176.  Go from there.
    
                    Answered by
            jaclyn
            
    thanx ms.sue it really help me solve the answer
    
                    Answered by
            Ms. Sue
            
    You're welcome, Jaclyn.
    
                    Answered by
            Henry
            
    Eq1: X - Y = 5.
Eq2: XY = 176.
Solve for Y in Eq2:
Y = 176/X,
In Eq1, substitute 176/X for Y:
X - 176/X = 5,
Multiply both sides by X:
X^2 - 176 = 5X,
X^2 - 5X - 176 = 0,
Solve using the Quadratic Formula and
get:
X = 16, and -11.
In Eq1, substitute 16 for X:
16 - Y = 5,
Y = 11.
In Eq1, substitute -11 for X:
-11 - Y = 5,
Y = -16.
Solution set: (X,Y)=(16,11),(-11,-16).
So 2 sets of numbers satisfy the required conditions.
 
    
Eq2: XY = 176.
Solve for Y in Eq2:
Y = 176/X,
In Eq1, substitute 176/X for Y:
X - 176/X = 5,
Multiply both sides by X:
X^2 - 176 = 5X,
X^2 - 5X - 176 = 0,
Solve using the Quadratic Formula and
get:
X = 16, and -11.
In Eq1, substitute 16 for X:
16 - Y = 5,
Y = 11.
In Eq1, substitute -11 for X:
-11 - Y = 5,
Y = -16.
Solution set: (X,Y)=(16,11),(-11,-16).
So 2 sets of numbers satisfy the required conditions.
                    Answered by
            Jocelyne 
            
    could you give me an exact answer please I need to love this within a day
    
                    Answered by
            Jocelyne 
            
    solve*
    
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