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4 votes
2p^2 -1 =7
Would appreciate some help thank you

2 Answers

3 votes

Answer: p = 2

Explanation:

To solve this problem, you first have to add 1 to each side of the equation, leaving you with 2p^2 = 8. Then you divide by 2 on both sides leaving you with p^2 = 4. After that, you take the square root of both sides, and because 4 is a perfect square, you get p = 2 as your final answer.

User Varrak
by
4.9k points
7 votes

For this chaos we must solve the following equation:


2p ^ 2-1 = 7

Adding 1 to both sides of the equation we have:


2p ^ 2 = 7 + 1\\2p ^ 2 = 8

Dividing by 2 to both sides of the equation:


p ^ 2 = \frac {8} {2}\\p ^ 2 = 4

Applying root to both sides:


p = \pm \sqrt {4}

Thus, we have two solutions:


x_ {1} = + 2\\x_ {2} = - 2

Answer:


x_ {1} = + 2\\x_ {2} = - 2

User Benjamin West
by
5.3k points