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Question: A number raised to the power of 2 more than three times a certain integer is equal to the same number multiplied by itself five times. Find the integer.


A ) 1
B ) 73
C ) -1
D ) 32

Steps to derive

1 Let the number = x

2 Let the required integer = p

3 So, x2 + 3p = x × x × x × x × x
 [Number raised to the power of 2 + 3 times an integer = number multiplied by itself 5 times.]

4 x2 + 3p = x5

5 2 + 3p = 5
 [If am = an, then m = n.]

6 3p = 3
 [Simplify.]

7 p = 1
 [Solve for p.]

8 So, the integer is 1.



Hence the right answer is Option A

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