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Question
Solve:
22x + 2x+2 − 4 × 23 = 0
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Solution
Given: 22x + 2x + 2 − 4 × 23 = 0
2(2x) + 2(x).2(2) − 4 × 8 = 0
Substituting 2x = a, we get:
a2 + 4a − 32 = 0
a2 + 8a − 4a − 32 = 0
a(a + 8) − 4(a + 8) = 0
(a − 4)(a + 8) = 0
a − 4 = 0 or a + 8 = 0
a = 4 or a = −8
a cannot be negative as 2x, for any value of x is greater than 0.
a = 4
2x = 4
2x = 22
x = 2
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