Math, asked by Sumershi, 1 month ago

Ifa-b= 7 and ab = 18; find a + b.​

Answers

Answered by npsjach
0

Answer:

answer is

= 7b + 18a

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Answered by anthonypaulvilly
1

Answer:

a + b = 11 OR -11  

Step-by-step explanation:

a - b = 7

a = 7 + b -----{i}

ab = 18 -----{ii}

Substitute {i} in {ii}

(7+b)b = 18

7b + b² = 18

b² + 7b - 18 = 0

b² + 9b - 2b - 18 = 0

= b (b + 9) - 2(b + 9)

= (b - 2) (b + 9)

b = 2 , -9

         a - b = 7

Case 1: if b = 2                                         Case 2: if b = -9

            a - 2 = 7                                                   a-(-9) = 7

            a = 7 + 2                                                  a + 9 = 7

            a = 9                                                        a = 7-9 = -2            

a + b

= 2 + 9         OR         = -2 - 9

= 11                             = -11  

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