Question

If a + b = 5 and ab = 2, find the value of (a) (a + b)^2 (b) a^2 + b^2 (c) (a - b)^2

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Answer 1

Answer:

Answer is given below

Step-by-step explanation:

Hope it helps you

Answer 2

Step-by-step explanation:

a + b = 5 .. (i)

and ab = 2 .. (ii)

From (i) :

a = 5 - b

Substituting in (ii) :

ab = (5-b)(b) = 2

5b - b^2 = 2

b^2 - 5b - 2 = 0

By quadratic formula :

b = (5+√33)/2 , (5-√33)/2

And a = 5 - b

a = 5 - (5+√33)/2 , 5 - (5-√33)/2

= 10/2 - (5+√33)/2 , 10/2 - (5-√33)/2

a = (5+√33)/2 , (5-√33)/2