6. If a + b + c = 9 and ab + bc + ca = 40,
7. If a2 + b 2 + c 2 = 16 and ab + bc + ca = 10, find the value of a + b + c.
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icr76sruix oitstk7 tdj
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Step-by-step explanation:
Given:
a^2 + b^2 + c^2 = 16
ab + bc + ca = 10
(a+b+c)^2 = (a^2 + b^2 + c^2) + 2(ab + bc + ca)
(a+b+c)^2 = 16 +( 2× 10)
= 16 + 20
(a+b+c)^2 = 36
a+b+c = 6
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