actice Assignment Gradebook ORION Downloadable eTextbook nme

actice Assignment Gradebook ORION Downloadable eTextbook nment Chapter 2, Section 2.2, Question 038 [x] Incorrect. Find two numbers whose sum equals 10 and whose product equals 20. Enter the exact answers in increasing order. Edit Edit Click if you would like to Show Work for this question: Open Show Work SHOW HINT By accessing this Question Assistance, you will learn while you earn points based . edugen/shared/ assignment/test/ag list uni?ld-asn m t20699744 N 1 002 D

Solution

Let the two numbers be x and y

Then x+y= 10 and xy= 20 (according to the condition given)

From equation 2 we\'d get x= 20/y

Substitute this in 1

(20/y)+y= 10 ; 20+y²=10y

y²-10y+20=0; y=[ 10 (+/-)(100- 80)^1/2]/2

y= (10(+/-)2 (5)^1/2)/2

Either y= 5+(5)^1/2 or y= 5-(5)^1/22

Either x = 20 /(5+(5)^1/2) or x= 20/(5-(5)^1/2)

The frist value of y and x and their second values repectively satisfies the equation.