Question

The product of two consecutive positive integers is 306 find the integers.

class 10 th

Answer 1

Let the numbers be x and (x+1)

According to the question,

x(x+1)=306

x^2+x=306

x^2+x-306=0

x^2+(18-17)x-306=0

x^2+18x-17x-306=0

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

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

Let x-17=0

x=17

x+1=17+1=18

So,the number is 17and 18

Mark it as brainliest plz

Answer 2

$\huge \bf \red{ \mid{ \overline{ \underline{ANSWER}}} \mid}$

x = 17


x = - 18

$\bf \pink{step \: by \: step \: explanation}$


Let x and x + 1 be the two consecutive positive integers .

Then, x(x + 1) = 306


→ x² + x - 306 = 0.


→ x² + 18x - 17x - 306 = 0.


→ x ( x + 18 ) - 17 ( x + 18 ) = 0


→ ( x - 17 ) ( x + 18 ) = 0.


→ x - 17 = 0

→ x = 17

and

→ x + 18 = 0

→ x = -18


Rejecting x = -18 , as the given numbers are positive , we get x = 17

•°• The two integers are 17 and 18.


$\huge \green{ \boxed{ \boxed{ \mathscr{THANKS}}}}$