If l + m + n = 9 and l2 + m2 + n2 = 31, then the value of lm + mn + nl will be solution
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Answered by
16
Given :
l + m + n = 9
l²+ m² + n²= 31
l + m + n = 9
On squaring both sides
(l + m + n)²= 9²
(l²+m²+n²+2(lm+mn+nl) = 81
31 +2(lm+mn+nl) = 81
2(lm+mn+nl) = 81 - 31
2(lm+mn+nl) = 50
(lm+mn+nl) = 50/2
(lm+mn+nl) = 25
Hence, the value of (lm+mn+nl) = 25
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Hope this will help you....
l + m + n = 9
l²+ m² + n²= 31
l + m + n = 9
On squaring both sides
(l + m + n)²= 9²
(l²+m²+n²+2(lm+mn+nl) = 81
31 +2(lm+mn+nl) = 81
2(lm+mn+nl) = 81 - 31
2(lm+mn+nl) = 50
(lm+mn+nl) = 50/2
(lm+mn+nl) = 25
Hence, the value of (lm+mn+nl) = 25
==========°=====================================================
Hope this will help you....
Answered by
6
Given :
l + m + n = 9
l²+ m² + n²= 31
l + m + n = 9
On squaring both sides
(l + m + n)²= 9²
(l²+m²+n²+2(lm+mn+nl) = 81
31 +2(lm+mn+nl) = 81
2(lm+mn+nl) = 81 - 31
2(lm+mn+nl) = 50
(lm+mn+nl) = 50/2
(lm+mn+nl) = 25
Hence, the value of (lm+mn+nl) = 25
==========°=====================================================
Hope this will help you....
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