Question

the product of two consecutive positive integers is 360.from the quadratic equation to find the integers,if x denotes the smaller integer.​

Answer 1

Answer:

If the smaller number is x. Let the bigger number be y.

Then quadratic equation :-

x*y=360

Answer 2

Answer:

Given : The product of two consecutive positive integers is 306.

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

A.T.Q  

Product of x and (x + 1) = 306  

x(x + 1) = 306  

x² + x = 306

x² + x - 306 = 0

Hence, x² + x - 306 = 0 is the required quadratic equation.

By factorisation,  

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

But x ≠ -18 because x is a  positive integer.

Therefore, x = 17

One positive integer (x) = 17

Other positive integer = x +1 = 17 + 1= 18  

Hence, the two consecutive positive integers are 17 and 18 .

HOPE THIS ANSWER WILL HELP YOU….