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Simora [160]
3 years ago
12

If x+y=3 and xy=2 find the value of x^2+y^2​

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
4 0

Answer:

yes but something like that

anzhelika [568]3 years ago
3 0

Answer:

5

Step-by-step explanation:

We know that

x + y = 3

and

xy = 2

Solve for x in first variable

x = 3 - y

Substitute this into second equation

(3 - y)y = 2

-  {y}^{2}   +  3y - 2

Simplify

{y}^{2}  - 3y + 2

(y  - 1)(y  -  2)

y = 1

y = 2

So x or y can be

x = 1 \:  \: y = 2

or

x = 2 \:  \:  \: y = 1

So we need to find x^2 and y^2.

{2}^{2}  +  {1}^{2}  = 5

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