1.

Find the value of k for which x = 1 is a root of the equation x2 + kx + 3 = 0. Also, find the other root.

Answer»

x = 1 is a solution of x+ kx + 3 = 0, which means it must satisfy the equation.

(1)2 + k(1) + 3 = 0

k = -4

Hence the required value of k = -4

Find other root:

We have equation, x2 – 4x + 3 = 0

x2 – x – 3x + 3 = 0

x(x – 1) – 3(x – 1) = 0

(x – 1)(x – 3) = 0

either x – 1 = 0 or x – 3 = 3

x = 1 or x = 3

Other root is 3.



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