Question

The product of two consecutive positive integer is 360. We need to find the integers.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

${\huge{\pink{\underline{\underline{Answer:}}}}}$

Let the two consecutive positive integer be x and ( x + 1 )

Product of the two consecutive Positive integer = 360

So :

x ( x + 1 ) = 306

x ² + x = 306

x ² + x - 306 = 0

Thus the required quadratic equation is :

$\mathbb\blue{x² + x - 306 = 0}$

Now ;

x² + x - 306 = 0

x2 + 18x – 17x – 306 = 0

x(x + 18) – 17(x + 18) = 0

(x + 18) (x – 17) = 0

If x + 18 = 0, If x – 17 = 0

then x = -18 and x = 17

$\mathbb\green{So....the...two...numbers....are = -18 ,17 }$