Question

Given X minus Y equals to 5 and XY equals to 36 find the value of X square plus Y Square

Answer 1

Answer:

97 is the answer. because x=4 y=9

Answer 2

Answer:

The value of X² + Y² is 97.

Step-by-step explanation:

The expansion of (a - b)² is,

(a - b)² = a² + b² - 2ab

Given:

X - Y = 5

XY = 36

Using the above expansion compute the value of X² + Y² as follows:

$(X-Y)^{2}=X^{2}+Y^{2}-2XY\\5^{2}=X^{2}+Y^{2}-(2\times 36)\\25=X^{2}+Y^{2}-72\\X^{2}+Y^{2}=25+72\\=97$

Thus, the value of X² + Y² is 97.