Question

the product of two consecutive integer is 306 then the smaller number is​

Answer 1

Answer:

17

Step-by-step explanation:

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

A/C to question,

product of x and (x + 1) = 306

⇒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 = 17 and -18

so x = 17 and (x +1) = 18

Therefore the numbers are 17 and 18.

so the smaller number is 17

Answer 2

Answer:

QUESTION:

The product of two consecutive integer is 306, then what is the smaller number?

SOLUTION:

Let the smaller number be x

Then the other number= x+1 (consecutive numbers)

The product of two consecutive integer is 306 (given)

x ( x + 1) = 306

x² + x = 306

x² + x-306= 0

Solving the quadratic equation:

x² + 18x - 17x - 306

x (x + 18)-17(x + 18)

(x - 17)(x + 18)

x= -17 or x= 18

HOPE IT HELPS YOU

$\mathbb \blue{THANK \: YOU}$