Question

6.
If x + y = 12 and xy = 14. Find x2 + y2​

Answer 1

Given

$x + y = 12$

$xy = 14$

To Find

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

Solution

$by \: using \:( {x+ y})^{2}$

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

$(12) ^{2} = {x}^{2} + {y}^{2} + 2 \times 14$

$144 = {x}^{2} + {y}^{2} + 28$

${x}^{2} + {y}^{2} = 116$

Mark as brainliest, ✔