Answer:
x ∈ {-a, -b}
Step-by-step explanation:
1/(a+b+x) = 1/a +1/b +1/x . . . . given
abx = bx(a+b+x) +ax(a+b+x) +ab(a+b+x) . . . . multiply by abx(a+b+x)
(a+b)x^2 +(a+b)^2x +ab(a+b) = 0 . . . . . subtract abx
x^2 + (a+b)x +ab = 0 . . . . . divide by (a+b)
This is a quadratic equation in x. It will have two solutions, as given by the quadratic formula.
x = (-(a+b) ±√((a+b)^2 -4(1)(ab))/(2(1)) = (-(a+b) ± |a -b|)/2
Without loss of generality, we can assume a ≥ b, so |a -b| ≥ 0. Then ...
x = (-a -b -a +b)/2 = -a
x = (-a -b +a -b)/2 = -b
There are two solutions: x ∈ {-a, -b}.
Answer:
4-2= 2
Step-by-step explanation:
See image below:)
Answer:
Bob's dog should be given 216 mg of medicine.
Step-by-step explanation:
Given that:
Weight of dog = 30 lbs
We know that:
1 lb = 0.45 kg
30 lbs = 0.45 * 30 kg
30 lbs = 13.5 kg
Medicine for each kilogram of weight = 16 mg
1 kilogram = 16 mg
13.5 kg = 16 * 13.5 mg
13.5 kg = 216 mg
Hence,
Bob's dog should be given 216 mg of medicine.
If ur equation looks like this, then the answer is -63/5 , and in decimal form the answer is -12.6 i hope this helps! !!
Answer:
X equals to -12
Step-by-step explanation:
Just trust me
