SOLUTION: find two numbers whose sum is 10 and whose product is 32. use the quadratic formula to solve
Algebra.Com
Question 399964: find two numbers whose sum is 10 and whose product is 32. use the quadratic formula to solve
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find two numbers whose sum is 10 and whose product is 32. use the quadratic formula to solve
--------------------------------------------------------------------------------
Equations:
x+y = 10
xy = 32
---
Substitute for y and solve for "x":
x(10-x) = 32
---
-x^2+10x-32 = 0
---
x^2-10x+32 = 0
-----
x = [10 +- sqrt[100-4*32]]/2
----
x = [10 +- sqrt(-28)]/2
----
x = [10 +- 2isqrt(7)]/2
---
x = (5+isqrt(7)) or x = (5-isqrt(7))
-----
Cheers,
Stan H.
RELATED QUESTIONS
Use a quadratic Equation to find two numbers whose sum is 5 and whose product is... (answered by checkley75)
Find two numbers whose sum is 32 and whose product is a maximum? (answered by Alan3354)
is it possible to write two real numbers whose sum is 4 and whose product is 5? use the... (answered by tommyt3rd)
Please help me
Find two numbers whose sum is 7 and whose product is... (answered by scott8148)
Find two numbers (exactly) whose product is 15 and whose sum is... (answered by ankor@dixie-net.com)
The two numbers whose sum is -10 and whose product is 24 are (answered by music.chick)
Find two possitive numbers whose product equals 357, and whose difference is 4. (use... (answered by jorel1380,josmiceli)
Find the two numbers whose sum is 50 and whose product is 621.
(answered by drj)
find two numbers whose sum is 26 and whose product is the maximum possible value
(answered by josgarithmetic)