Question

if X + Y = 7 by 2 and x y equal to 5 by 2 find x minus y and x square minus y square​

Answer 1

The value of x-y is 3/2 and$x^2 -y^2 = \frac{21}{4}$

Step-by-step explanation:

Equation 1 : $x+y=7$

Equation 2 : $xy = \frac{5}{2}$

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

$\frac{49}{4} = {x}^{2} + {y}^{2} + 5$

${x}^{2} + {y}^{2} = \frac{29}{4}$

${(x - y)}^{2} = \frac{29}{4} - 5 = \frac{9}{4}$

$x - y = \frac{3}{2}$

${x}^{2} - {y }^{2} = \frac{7}{2 } \times \frac{3}{2} = \frac{21}{4}$

Hence The value of x-y is 3/2 and$x^2 -y^2 = \frac{21}{4}$

#Learn more:

If 5 x minus 2 Y is equal to 7 and X Y is equal to 2 find the value of 5 x + 2 y whole square

https://brainly.in/question/5719462

Answer 2

Step-by-step explanation:

hope this helps u ........