Question

If a + b = 7 and a b= 10; find a-b

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Answer 1

Step-by-step explanation:

a=5 , b=2

a+b = 5+2 = 7

ab = 5 x 2 = 10

So,

a-b = 5-2 = 3

please tell me if wrong.......

Answer 2

Answer:

a-b = 3

Step-by-step explanation:

$a + b = 7 \\ squaring \: both \: side \\ {(a + b)}^{2} = {7}^{2} \\ {a}^{2} + {b}^{2} + 2ab = 49 \\ {a}^{2} + {b}^{2} = 49 - 20(ab = 10) \\ {a}^{2} + {b}^{2} = 29 \\ \\ \\ {( a-b )}^{2} = {a}^{2} + {b}^{2} - 2ab \\ 29 - 20(already \: finded \: value \: of \: {a}^{2} + {b}^{2} and \: ab) \\ {(a -b )}^{2} = 9 \\ (a - b) = \sqrt{9 } \\ a - b = 3$

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