math
posted by jaclyn on .
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.

Start with the square root of 176. Go from there.

thanx ms.sue it really help me solve the answer

You're welcome, Jaclyn.

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.