Question

If x+y=13 and xy=25/4,find x-y

Answer 1

Answer:

Step-by-step explanation:

x+y=13

x= 13-y

xy= 25/4

(13-y)(y)= 25/4

13y-y^2= 25/4

y^2-13y+25/4=0

4y^2-52y+25=0

D= b^2-4ac

= (52)^2-4(4)(25)

=2704-400

=2304

Now y = (-b±√D)/2a

= (52±48)/8

y= 100/8 or 4/8

y= 25/2 or 1/2

If y = 25/2

x+25/2=13

x= 13-25/2

x= 1/2

Then x-y = 1/2-25/2

= -24/2 = -12

If y =1/2

x= 13-1/2

= 25/2

Then

x-y= 25/2-1/2 = 24/2 =12

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