How to solve r^3−6r^2+11r−6=0

Chaim Ferguson

Chaim Ferguson

Answered question

2022-10-13

How to solve r 3 6 r 2 + 11 r 6 = 0

Answer & Explanation

n8ar1val

n8ar1val

Beginner2022-10-14Added 12 answers

r 3 6 r 2 + 11 r 6 = 0 r 3 6 ( r 2 2 r + 1 ) r = 0 r ( r 2 1 ) 6 ( r 2 2 r + 1 ) = 0 r ( r 1 ) ( r + 1 ) 6 ( r 1 ) 2 = 0 ( r 1 ) ( r ( r + 1 ) 6 ( r 1 ) ) = 0 ( r 1 ) ( r 2 + r 6 r + 6 ) = 0 ( r 1 ) ( r 2 5 r + 6 ) = 0
By solving the quadratic equation ( r 2 5 r + 6 ) = 0, we get that r 1 , 2 = ( 5 ± 1 ) / 2, so finally:
( r 1 ) ( r 2 ) ( r 3 ) = 0

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