Question

If a+b=6, ab=5, the value of a-b is:
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Answer 1

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Answer 2

Answer:

The value of a-b is ±4.

Step-by-step explanation:

Given

a+b=6...eq.i

ab=5......eq.ii

To find the value of a-b

Solution:

From eq. i

a+b=6

a=6-b

Again

From eq. ii

ab=5

a=5/b

Here, on equating the values of a, we get

6-b=5/b

or, 6b-b²=5

or, b²-6b+5=0

or, b²-(5+1)b+5=0

or, b²-5b-b+5=0

or, b(b-5)-1(b-5)=0

or, (b-1) (b-5)=0

either, b-1=0      or, b-5=0

           b=1              b=5

Putting the value of b in eq. ii

ab=5

when b=1, a= 5

when b=5, a=1  

Now,

when a=1 and b=5, a-b= 1-5= - 4

when a=5 and b=1, a-b=5-1= 4

Hence, the value of a-b is ± 4.