Question

if xy =12andx+ y=8,which could be the value of y- x​

Answer 1

this is your answer check

Answer 2

Answer:

y - x = ±4

Step-by-step explanation:

Let me write x + y = 8  as  y + x = 8.

It needs to apply a simple equation. See it below.

TO REMEMBER...

If y + x = m

& xy = n

then y - x = √(m² - 4n)

Okay.

Here,

y + x = 8 = m

xy = 12 = n

∴

y - x

= √(m² - 4n)

= √(8² - 4 × 12)

= √(64 - 48)

= √16

= ±4

∴ The answer is 4 or -4.

Don't forget the equation √(m² - 4n). It may be helpful for such questions.

$\sqrt{m^2-4n}$

Thank you. Have a nice day. :-)

#adithyasajeevan