Question

Find the values of a and b from each of the following conditions:
a. a + b = 3 and ab = 2
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Answer 1

Given a+b =3

a=3- b

ab=2

(3- b) b= 2

3b- b^2 =2

b^2-3b +2=0

b^2- b -2b +2 =0

b(b - 1)- 2(b- 1)=0

so (b-2)( b-1)=0

b=2.,1

if b=2 _____a=1

if b=1 ______a=2

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