a + b + C is equal to 9 and a b + BC + CA is equal to 26 find a square + b square + c square
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Answered by
11
a + b + c = 9
on squaring on both sides
( a + b + c ) = 81
a ^ 2 + b ^ 2 + c ^ 2 + 2 ( ab + bc + ca ) = 81
a ^ 2 + b ^ 2 + c ^ 2 + 2 ( 26 ) = 81
a ^ 2 + b ^ 2 + c ^ 2 = 81 - 52
therefore a ^ 2 + b ^ 2 + c ^ 2 = 29
hope it helps you mate <3<3
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Answered by
0
a+b+c=9
ab+bc+ca=26
asquare+bsquare+csquare=?
we know that
(a+b+c)square=asquare+bsquqre+csquare+2ab+2bc+2ca
now put the values
9square=asquare+bsquare+csquare+2(26)
81=asquare+bsquare+csquare+52
81-52=asquare+bsquare+csquare
29=asquare+bsquare+csquare
Hope it helps you....
ab+bc+ca=26
asquare+bsquare+csquare=?
we know that
(a+b+c)square=asquare+bsquqre+csquare+2ab+2bc+2ca
now put the values
9square=asquare+bsquare+csquare+2(26)
81=asquare+bsquare+csquare+52
81-52=asquare+bsquare+csquare
29=asquare+bsquare+csquare
Hope it helps you....
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