if a/b+c + b/c+a + c/a+b, then one value of abc+ 1/abc is
Answers
Answer:
Sundhar Rajan
Answered December 25, 2018
Since this is a system of three equations with three unknowns, viz., a,b and c, it is direct simple solving equation.
c in terms of a=(a-1)/a
b in terms of a=3/(7–3a)
Since b and c are kn own in terms of a, substitute them as such in the second equation that contains b and c only so that that equation will become an equation in the variable ‘a’.
7/(3-a) + a/(a-1)=4
On further multiplication and rearrangement of terms, we get a quadratic equation,
9a^2–30a+25=0 where ^ indicates power term.
This will give two values for a, a=5 and a=5/3.
a=5 will be irrelevant since it gives b=3/(7–3a)=3/(7–15)=-3/8 which is negative value.
Therefore a=5/3 is the correct answer suitable to this problem.
Now with a=5/3, we get b=3/2 and c=2/5
Therefore abc=5/3*3/2*2/5=1
abc=1
Answer:
10*cos(30), 10*sin(30)>=<10*(1/2), 10*(sqrt(3) / 2> = <5, 5*sqrt(3)>