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*