Question

If u+v=7 and uv=12, find u-v.

Answer 1

Answer:

u + v = 7

⇒ v  = 7 - u

uv = 12

⇒ u(u-7) = 12

⇒ u² - 7u - 12 = 0

⇒ u² - 4u - 3u - 12 = 0

⇒ u( u-4) - 3 (u-4) = 0

⇒ (u-4) (u-3) = 0

⇒ u = 4 or 3

⇒ if u = 3, v= 4

   if u=4, v = 3

⇒ u -v = 1 or -1  

Answer 2

Answer:

The value of $u-v=1,-1$.

Step-by-step explanation:

It is given that $u+v=7$

and

$uv=12$

From first equation, $v=7-u$

Using it in second, we get

$u(u-7)=12$

$u^{2}-7u-12=0$

$u^{2}-4u-3u-12=0$

$(u-4)(u-3)=0$

$u=3,4$

Hence, $v=4,3$

$u-v=1,-1$

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