Question

SOLVE THE QUESTION GIVEN BELOW .
$if \: (a - b) = 4 \: \: and \: (a + b) = 7 \: \: then \: \: find \: \: (i)a ^{2} + b^{2} \: \: (ii)ab$

Answer 1

Hey !!!!!

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a - b = 4. ....(I)

a + b = 7........(ii)

EQ. 1

a = 4+b

Keeping the Value if a in eq. (ii)

4+b+b = 7

4+2b = 7

2b = 3

b = 3/2

Putting the Value of b in eq. 1

a/1 - 3/2 = 4

2a - 3 /2 =4. (LCM)

2a - 3 = 8

2a = 11

a = 11/2

Now,

a = 11/2

b = 3/2

1st Part of Question : a^2 + b^2

(11/2) ^2 + (3/2) ^2

121/4 + 9/4

130/4

65/2

32.5

2nd Part of Question : ab

11/2 × 3/2

33/4

8.25


The Final values of (I) : 32.5 or 65/2

(ii) : 8.25 or 33/4

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Hope This Helps.....!!!