Question

Given that x - y = 8, xy = 5, find the value of x square + y square.
KINDLY GIVE WITH STEPS.
thank you

Answer 1

Answer:

(x-y)square= xsquare+ y square- 2xy

64= xsquare+ y square- 2* 5

64= xsquare+ y square-10

75= xsquare+ y square

Answer 2

$\textbf{\underline{\underline{ Solution:}}}$

$= x - y = 8 .\: xy = 5 \: . \: {x - y}^{2}.$

$\textbf{On squaring both sides:}$

$= ({x - y)}^{2} = {(8)}^{2} \\ \: \\ = {x}^{2} - {y}^{2} - 2xy = 64 \\ = {x}^{2} - {y}^{2} - 2 \times 5 = 64 \\ = {x}^{2} - {y}^{2} - 10 = 64 \\ = {x}^{2} - {y}^{2} = 64 + 10 \\ = {x}^{2} - {y}^{2} = 74.$