Question

a+b=8 ,ab=12 find the difference of a and b

Answer 1

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the difference between a and b is 4

Answer 2

⭐GIVEN:

• a+b=8

• ab=12

⭐TO FIND:

• a-b=?

⭐$OLUTION:

(a²+b²) =(a+b) ²-2ab...... (Identity)

(a²+b²)=(8) ²-2(12)

(a²+b²)=64-24

(a²+b²)=40.......... (1)

Now, By using another identity,

(a-b) ²=a²-2ab+b²......... (Identity)

(a-b) ²=a²+b²-2ab

(a-b) ²=40-2(12) ............... (From 1)

(a-b) ²=40-24

(a-b) ²=16

a-b=4...... (By taking square root on both sides)

Therefore, a-b is 4.

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