Question

If x+y=5/2 and xy=1 find x-y
Anwer is +- 3/2
can anyone help me with the steps​

Answer 1

Answer:

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

Step-by-step explanation:

x + y = 5/2

xy = 1

y = 1 /x

x + y = 5/2

$x + \frac{1}{x} = \frac{5}{2}$

$\frac{ {x}^{2} + 1}{x} = \frac{5}{2}$

$2 {x}^{2} + 2 = 5x$

$2 {x}^{2} - 5x + 2 = 0$

$2 {x}^{2} - 4x - x + 2 = 0$

$2x(x - 2) - 1(x - 2) = 0$

$(x - 2)(2x - 1) = 0$

Either, x = 2 or, x = 1/2

case 1.

when X = 2, y = 1/2

X - Y = 2 - 1/2 = 3/2

case 2.

When. X = 1/2, Y = 2

X - Y = (1/2) - 2 = -3/2

Answer 2

Step-by-step explanation:

Hope it helps you!!

Mark me as brainliest..