If x=-4 is a root of \left|\begin{array}{ccc}x & 2 & 3 \ 1 & x & 1 \ 3 & 2 & x|\end{array}=0, then the sum of the other two roots is

CBSE Class 12 Math 2022 Term I Solved Paper - Question 39

Question : 39 of 50

Marks: +1, -0

x=-4

is a root of

{|\table x , 2 , 3 ; 1 , x , 1 ; 3 , 2 , x|}=0

, then the sum of the other two roots is

Solution:

\;\text " Explanation: Given, "\;{|\table x , 2 , 3 ; 1 , x , 1 ; 3 , 2 , x |}=0

⇒ \;\; x (x^2-2) -2(x-3)+3(2-3 x)

⇒ \;\; x^3-13 x+12=0

Since

(x+4)

is one root of above cubic equation.

\;\text " Sum roots "\;=0

∴ \;\;

Sum of two roots

+(-4)=0

Sum of two roots

=4

Go to Question:

Prev Question

Next Question