Question

If (a+b)=6, ab=20. Find the value
of (a - b)​

Answer 1

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Answer 2

Given

• a+b=6
• ab=20

To find

• a-b

Solution

To find a-b, first we will have to find a²+b²

(a+b)²=a²+b²+2ab

Substituting the values we get,

→ 6²=a²+b²+2×20

→ 36=a²+b²+40

→ 36-40 = a²+b²

→ a²+b²= -4

Now we will find a-b

We know that,

(a-b)²=a²+b²-2ab

Substituting the values, we get,

(a-b)²= -4 - 2 × 20

(a-b)² = -4 × -40

(a-b)² = 160

a-b = ±√160

a - b = 40

Therefore, the value of a - b is 40