Question

If a+b= 13 and ab= 36, then the value of a-b is​

Answer 1

Answer:

7

Step-by-step explanation:

a+b=13. ---1

ab=36

a=36/b

Put value of a in 1

36/b+b=13

36+b=13b

36=13b-b

36=12b

b=36/12

b=3

Now, a+b=13

a+3=13

a=13-3

a=10

a-b=10-3

=7

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Answer 2

Answer:

$a + b =13 \\ by \: doing \: squaring \: on \: both \: sides \: we \: \\ get \\ (a + b) ^{2} = 169 \\ {a}^{2} + {b}^{2} + 2ab = 169 \\ {a}^{2} + {b}^{2} = 169 - 2ab \\ = 169 - 2(36) \\ = 97 \\ {(a - b)}^{2} = 97 - 2(36) \\ {(a - b)}^{2} =25 \\ (a - b) = 5$

Step-by-step explanation:

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