if x - y =3 and xy = 4 then what is x^2 + y^2

Subject:
Math
Author:
erico
Created:
1 year ago

Answers 2

Answer:

Step-by-step explanation:

9+8=17

this is the answer

Author:

claireharvey
Rate an answer:
3

Answer:

Step-by-step explanation:

The first expression you are trying to find is

x2+y2

but this can be cast as

(x+y)2−2xy

so we can easily see that the result, given our input data, is

(2)2–2⋅4=4–8=−4

To obtain x3 we can do the following

x⋅(x2+y2)=x⋅−4=−4x=x3+xy⋅y=x3+xy⋅y

this can be re-arrange to be

x3=−4x−4y=−4(x+y)=−4⋅2=−8

The result is

x2+y2=−4

x3=−8

Author:

amari
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1

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