1/a+b+c-1/X=1/a+1/b solve (quadratic equations)
Answers
Answered by
0
Step-by-step explanation:
1/a+b+c -1/x= 1/a+b/b
1/a+b+c - 1/x=1/(a+b)b
(a+b)b -(a+b+c)/(a+b+c)(a+b)b= 1/x
x(a+b)b -(a+b+c)= (a+b+c)(a+b)b
x=(a+b+c)(a+b)b/(a+b)b-(a+b+c)
Answered by
1
Answer:
-(a+b)/ab
Step-by-step explanation:
1 /( a+b+c) -1/x = 1/a + 1/b
--》1/(a+b+c) -1/x = (b+a)/ab
--》1/(a+b+c) - (b+a)/ab = 1/x
--》 [ab-{(b+a)(a+b+c)}] / ab(a+b+c) = 1/x
--》 [ab-{b( a+b+c) +a(a+b+c)}] / ab(a+b+c) = 1/x
--》{ ab -( a²+ab+ac+ab+b²+ab)} / ab(a+b+c) = 1/x
--》 ( ab-a²-ab-ac-ab-b²-ab)/ab(a+b+c) = 1/x
--》 ( -a²-b²-2ab - bc-ac)/ab(a+b+c) = 1/x
--》 {-( a²+b²+2ab) -c (a+b)/ ab(a+b+c)= 1/x
--》 {-(a+b)² -c(a+b) } / ab(a+b+c) = 1/x [ take -(a+b) common]
--》 -(a+b) (a+b+c)/ ab(a+b+c) = 1/x [(a+b+c) gets cancelled]
--》 -(a+b) / ab = 1/x (cross multiplication)
--》 x{-(a+b)}= ab
--》 x = ab/-(a+b) ans.
hope it helps you though I'm a bit late to reply lol ✌
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