find The value of a and b such that sum of a and b is 20 and their product is 100 in statement
Answers
Answered by
2
Answer:
Let the numbers be x,y
xy=100,y=
x
100
f(x,y)=x+y
f(x)=x+
x
100
Minimum of f(x) is obtained at f
′
(x)=0
⇒f
′
(x)=1−
x
2
100
=0
x=±10
∴x=10,y=10
related to it
Answered by
0
Answer:
a + b = 20
a = b - 20
a × b = 100
b - 20 × b
b2 - 20 b = 100
b2 - 20b -100
from this equation
b = 10
a + b = 20
a = 20 - 10
a = 10
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