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Grade 12Algebra

If a,b,c are the roots of equation x³ -5x² + 3x -1=0 find value of determinant
a. b. c
a-b. b-c c-a
b+a. c+a. a+b

Profile image of Bulbul
9 Years agoGrade 12
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1 Answer

Profile image of Vikas TU
9 Years ago
The roots of the equation x³ -5x² + 3x -1=0 are 4.23, -0.23, 1
So a=4.23,b= -0.23,c= 1
Now determinant of the matrix
=(a&b&c a-b&b-c&c-a b+a&c+a&a+b)
= (4.23&-0.23&1 4.46&-1.23&-3.23 4&5.23&4)

=85.966
 

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