Question

If a2 + b2 = 13 and ab = 6, find (i) a + b (ii) a - b.

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Answer 1

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Part 1:

To find →a+b

Answer:

Step 1:

(a+b)²=a²+b²+2ab

step 2:

(a+b)²=13+2×6

Step 3:

(a+b)²=13+12

Step 4:

(a+b)²=25

Step 5:

a+b=±5

Answer:±5

To find→a-b

Answer:

step 1:

(a-b)²=a²+b²-2ab

Step 2:

(a-b)²=13-2×6

Step 3:

(a-b)²=13-12

Step 4:

(a-b)²=1

Step 5:

a-b=±1

Answer: ±1

hope it helped you:)