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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Answer:
<u>13/15 </u>
_
Decimal Form: 0.86
Not sure if you would've preferred a step-by-step solution. Sorry! Hope you find this helpful, good luck!
Answer:
the highest it can go its 4,256
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
So we have the expression:
And we want to evaluate it for m=25.
So, substitute 25 for m:
Subtract:
Multiply:
Add:
So, our answer is 65.
And we're done!
Answer:
(-3+√17 )/2. or( -3-√17)/2
hope you got it
