Question

The difference between two numbers is 9 and
the product of the numbers is 162. Find the
two numbers.​

Answer 1

Answer:

x = 18, -9 , y =9 , -18

Step-by-step explanation:

let the numbers be x & y

according to given;

x - y =9 & xy = 162

x = 9 + y so, (9 + y) y = 162

9y + y² - 162 =0

y² + 9y - 162 =0

w.k.t:

$y = \frac{ - b \frac{ + } - \sqrt{ {b}^{2} - 4ac } }{2a}$

= [- 9 +- _/81 - 4(1)(-162) ] /2(1)

= (-9 +- _/ 81 + 648 ) / 2

=[ -9 +- sq.root( 729) ] / 2

=

( -9 +- 27 ) / 2

= (-9 + 27) /2 , (-9 -27) / 2

= 18 /2 , -36/2

y = 9 , -18

x = 9+ y

= 9 +9 , 9 - 18

= 18 , -9

Answer 2

Answer:

let the number be X and Y

X _Y=9

XY=162

X+Y=underfoot(X_Y)square+4XY

X+Y= 9square + 4×162

=81+648

=underroot 729

=27

X+Y=27

X-Y=9

adding both side we get

2X=36

X=18

PUTTING X=18IN EQUATION 1

18_Y=9

Y=9 answer

so X=18 AND Y=9

THE TWO NUMBER IS 18 AND 9