Question

2. If a + b = 9 and ab = -22, find :
(i) a - b​

Answer 1

Answer:

13

Step-by-step explanation:

a+b=9

a.b=-22

b=-22/a

then

a-22/a=9

or a^2 -22=9a

a^2-9a-22=0

a^2-(11-2)a-22=0

a^2-11a+2a-22=0

a (a-11) + 2 (a-11) =0

then

if a-11=0 then a=11

if a+2=0 then a=-2

putting value of a then we get

a+b=9

b=9-a

b=9+(-11)

b=-2

then

a-b =11 - (-2)

=13