Question

xy=72 and x+y=17 find x^2+y^2

Answer 1

Answer:

Please mark BRAINLIEST.....

Answer 2

$\large\mathfrak \pink{Solution:-}$

$\underline \mathbb{GIVEN:-}$

★xy = 72

★x + y = 17

$\underline \mathbb{TO \: FIND:-}$

$Value \: of \: {x}^{2} + {y}^{2}$

$\underline \mathbb{FORMULA:-}$

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

$\underline \mathbb{BY \: THE \: PROBLEM:-}$

$(x + y) {}^{2} = {(17)}^{2} \\ \\ \implies \: {x}^{2} + {y}^{2} + 2xy = 289\\ \\ \implies \: {x}^{2} + {y}^{2} + 2 \times 72 = 289--(Putting \:value\: of \:xy)\\ \\ \implies \:{x}^{2} + {y}^{2} +144 = 289\\ \\ \implies \: {x}^{2} + {y}^{2} = 289 - 144\\ \\ \implies \: {x}^{2} + {y}^{2} = 145$

$\underline \mathbb{ANSWER:-}$

$\implies \boxed {{x}^{2} + {y}^{2} = 145}$