Question
Download Solution PDFThe roots of 22x - 10 × 2x + 16 = 0 are:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
22x - 10 × 2x + 16 = 0
Calculation:
Splitting the middle terms to form factors,
⇒ 22x – 8.2x – 2.2x + 16 = 0
⇒ 2x(2x – 8) – 2(2x – 8) = 0
⇒ (2x – 2)(2x – 8) = 0
Now, we have 2x = 2 and 2x = 8
⇒ 2x = 21 and 2x = 23
Comparing both values, we get x = 1 or x = 3.
Therefore, the roots of the equation are 1 and 3.
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