Question

a+b=6 and ab=11/4 find a-b​

Answer 1

Answer:

5

Step-by-step explanation:

We know :

$(a+b)^2 = a^2 + 2ab + b^2$

and also, :

$(a-b)^2 = a^2 -2ab + b^2$

Now, subtracting the two equations, we get :

$(a+b)^2 - (a-b)^2 = 4ab$

Adjusting the equation, we get :

$(a+b)^2 - 4ab = (a-b)^2$

Now plugging in the values

=> 36 - 4(11/4) = (a-b)^2

=> 36 - 11 = 25 = (a-b)^2

So therefore, a-b = 5