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.
6 answers
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.
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.
could you give me an exact answer please I need to love this within a day
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