Question : If $a + b = 10$ and $ab = 9$, then the value of $a - b$ is:
Option 1: 7
Option 2: 5
Option 3: 8
Option 4: 6
Answer (1)
15th Jan, 2024
Correct Answer: 8
Solution :
Given: $a + b = 10$ and $ab = 9$
We know that,
$(a-b)^2=(a+b)^2-4ab$
Putting the value, we get:
⇒ $(a-b)^2=10^2-4\times9$
⇒ $(a-b)^2=100-36$
⇒ $(a-b)^2=64$
$\therefore(a-b)=8$
Hence, the correct answer is 8.
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