Question

find the value of a-b when a+b =12 and ab=6
please give me answer ​

Answer 1

Answer:

$\huge \pink{❀ꪖnswer❀}$

Explanation:

$given \: \\ a + b = 12 \\ ab = 6 \\we \: know \: that \\ (a + b) {}^{2} = a {}^{2} + 2ab + b {}^{2} \\so \\ 12 {}^{2} = a {}^{2} + 2 \times 6 + b {}^{2} \\144 = a {}^{2} + 12 +b {}^{2} \\ a {}^{2} + b {}^{2} = 144 - 12 \\ = 132$

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Answer 2

Answer:

Formula

(a+b)

2

=a

2

+b

2

+2ab

=>a

2

+b

2

=(a+b)

2

−2ab

Given, a+b=5 and ab=6

So, a

2

+b

2

=(a+b)

2

−2ab=5

2

−2×6=25−12=13