Question

x+y=4 and xy=3 then the value of x^2+y^2

Answer 1

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Answer 2

Step-by-step explanation:

we know

$(x + y) {}^{2} = x {}^{2} + y {}^{2} + 2xy$

we want to find

${x}^{2} + {y}^{2}$

${x}^{2} + {y}^{2} = (x + y) {}^{2} - 2xy$

given

$x + y = 4 \: and \: xy = 3$

therefore