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MA_775_DIABLO [31]
3 years ago
6

A textbook is opened and the product of the page numbers of the pages is 6162. What are the numbers of the pages?

Mathematics
1 answer:
ss7ja [257]3 years ago
6 0

Answer:

The two page numbers are 78 and 79.

Step-by-step explanation:

Let's take the page numbers are x and x + 1 .

The produce of the page numbers is 6162

so, x(x + 1) = 6162

x^{2} + x -6162 = 0

Here we have to use the quadratic formula to solve for x.

The quadratic formula, x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a}

Here a =1, b = 1 and c = -6162

Plugging in the value of a, b and c in the above formula, we get

x = [-1 ± 157] ÷ 2

Let's take the positive value alone since the page number cannot be negative.

x = [-1 + 157] ÷2

x = 78

The next page number x + 1 = 78 + 1 = 79

Therefore,  the two page numbers are 78 and 79.

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