Question

The difference of 2 number is 2 their product is 288 .find the no

Answer 1

Answer:

18,16

Step-by-step explanation:

x-y=2......(1)

xy=288

(x-y)²=4

x²+y²-2(288)=4

now add 2xy on both sides

(x+y)²=580+2xy=580+576=1156

x+y=34.....(2)

from (1) & (2)

2x=36

x=18

y=16

Answer 2

Given :

The difference of two number is 2 and their product is 288.

To Find :

The numbers ?

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

Step by step explanation:

Let the numbers be $\bold{\red{x }}$ and $\bold{\red{y}}$

According to the question:-

$= > x - y = 2$

$= > x = y + 2...(1)$

$= > xy = 288$

substitute X's value from equation 1

$= > (y + 2)y = 288$

$= > {y}^{2} + 2y - 288 = 0$

$= > {y}^{2} + 18y - 16y - 288 = 0$

$= > y(y + 18) - 16(y + 18) = 0$

$= > (y - 16)(y + 18) = 0$

y=16 and y=-18

we take y's positive value

Y=16

$x = 16 + 2 = 18$

Hence ,the numbers are $\bold{\red{(16,18)}}$