if a+b=5, ab=6,then (a-b)=
Answers
Answer:
-1 or 1 is the answer.
as you can take a=3 or a=2..
Step-by-step explanation:
as:
2+3=5
I.e
a+b=5
2×3=6
i.e ab=6
then,(a-b)=2-3=-1
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Answer:
hiii
your answer is here.
Step-by-step explanation:
1st case,
a + b = 5
a = 5 - b ........(i)
2nd case,
ab = 6
a = 6 / b .......(ii)
On equating equation (i) and (ii)
5 - b = 6 / b
b( 5 - b) = 6
5b - b2 = 6
0 = b2 - 5b + 6
b2 - (3 + 2)b + 6 = 0
b2 - 3b - 2b + 6 = 0
b ( b - 3) - 2 ( b - 3) = 0
( b -3) ( b - 2) = 0
Either,
b - 3 = 0
b = 3
Or,
b - 2 = 0
b = 2
Therefore, b = 3 and 2
Putting the value of b in equation (i)
When b = 3
a = 5 - b
a = 5 - 3
a = 2
When b = 2
a = 5 - b
a = 5 - 2
a = 3
Therefore, a = 2 and 3
So,
when a=2 and b = 3
a - b = 2 - 3
= -1
when a = 3 and b = 2
a - b = 3 - 2
= 1
Therefore, (a - b) = -1 and 1
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