Question

If a2 + b2 = 6, a + b = 4, then ab =
(A) 10
(B) 5 (C) 20
(D) 7​

Answer 1

Answer:

given

${a}^{2} + {b}^{2} = 6 \\ a + b = 4$

we know that

${(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab$

substituting the given values

${4}^{2} = 6 + 2ab$

16 = 6 + 2ab

2ab = 16-6

2ab= 10

ab = 10 /2

ab = 5

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