Question

if a+b=12 and ab=27 then find the value of a-b​

Answer 1

Step-by-step explanation:

a= 9

b= 3

a-b=9-3=6

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Answer 2

Step-by-step explanation:

•a+b=12

=> b=12-a ---(1)

• put "b" value in

• ab=27

=> a(12-a)=27

=> 12a-a²-27=0

=> -a²+12a-27=0.

=> a²-12a+27=0

=> a²-3a-9a+27=0

=>a(a-3)-9(a-3)=0

=>(a-3)(a-9)=0

=>a=3 or a=9

•put a value in eq(1)

if a=3, b=12-3=9

if a=9,. b=12-9=3

for ,a=3 & b=9

•a-b=3-9= -6

for a=9,b=3

•a-b=9-3=6

therefore ,

•a-b = -6 or a-b=6

•a-b=±6