Question
Download Solution PDFIf a + b = 10 and ab = 9, then the value of a - b is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
a + b = 10
ab = 9
Concept Used:
(a – b)2 = a2 + b2 – 2ab
Calculation:
⇒ Squaring (a – b), we get
⇒ (a – b)2 = (a + b)2 – 4ab
⇒ Putting the values in the formula,
⇒ (a – b)2 = 102 – 4 × 9 = 100 – 36
⇒ (a – b)2 = 64
⇒ a – b = \(\sqrt{64}\) = 8
Therefore, the value of a – b is 8.
Last updated on Jun 17, 2025
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