Question

the product of two consecutive positive integer is 306.From the quadratic equation to find the integer if x denotes the smaller integer.

Answer 1

Hi ,

Let x and ( x + 1 ) are two consecutive positive

integers ,

x( x + 1 ) = 306

x² + x - 306 = 0


x² + 18x - 17x - 306 = 0

x ( x + 18 ) - 17( x + 18 ) = 0

( x + 18 ) ( x - 17 ) = 0

x+ 18 = 0 or x -17 = 0

x = -18 or x = 17

But x is a positive integer,

Required two numbers are

17 and 18

I hope this helps you.

:)

Answer 2

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