a2+b2=100,if ab=48 find value of a+b
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There are various ways to solve this question. One way is to replace the 'b' in the equation
a² + b² = 100
with 48/a and finding the value of 'a' then 'b' and so on.
But here's a different approach.
If a=x, and b=y, then we get the equations:
x²+y²=10² (equation of a circle), and
y= 48/x (equation of a rectangular hyperbola)
You can see from the intersection points that whatever be the case,
x+y=8+6 or -8-6, ie,
=14 or -14
So here you go the answer to your problem. A very unnecessarily long answer to a simple problem. Ha ha. Peace.
a² + b² = 100
with 48/a and finding the value of 'a' then 'b' and so on.
But here's a different approach.
If a=x, and b=y, then we get the equations:
x²+y²=10² (equation of a circle), and
y= 48/x (equation of a rectangular hyperbola)
You can see from the intersection points that whatever be the case,
x+y=8+6 or -8-6, ie,
=14 or -14
So here you go the answer to your problem. A very unnecessarily long answer to a simple problem. Ha ha. Peace.
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