Given that (p - 1/p) = 4, the value of p² + 1/p² is 18. Detail below
<h3>Data obtained from the questio</h3>
- (p - 1/p) = 4
- p² + 1/p² = ?
<h3>How to determine the value of p² + 1/p²</h3>
(p - 1/p) = 4
Square both sides
(p - 1/p)² = (4)²
(p - 1/p)² = 16 ....(1)
Recall
(a - b)² = a² + b² - 2ab
Thus,
(p - 1/p)² = p² + 1/p² - (2 × p × 1/p)
(p - 1/p)² = p² + 1/p² - 2
From equation (1) above,
(p - 1/p)² = 16
Therefore,
p² + 1/p² - 2 = 16
Rearrange
p² + 1/p² = 16 + 2
p² + 1/p² = 18
Thus, the value of p² + 1/p² is 18
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it is 100 times greater because it is two places higher than 57,080
-x - 5 = -11
add 5 to both sides
-x - 5 + 5 = -11 + 5
-x = -6
x = 6
If the slope of the function is 2, the amount it can change over the interval 0–2 is
... 2×2 = 4 units
If the slope is 7, the amount it can change over the interval 0–2 is
... 2×7 = 14 units
The least possible value of f(2) is 2+4 = 6.
The greatest possible value of f(2) is 2+14 = 16.
