Question

the common root of the equation x2-5x+6=0 and x2-10x+21=0 is
urgent! ​

Answer 1

Answer:

3

Step-by-step explanation:

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Answer 2

Answer:

3

Step-by-step explanation:

Case 1 :- x^2 - 5x +6=0

x^2 - 3x -2x +6 =0

x (x-3) -2 (x-3)

(x-3) (x-2)

The root of the equation are 3 and 2.

Case 2 :- x^2 - 10x + 21 = 0

x^2 -7x -3x +21 = 0

x ( x-7 ) - 3 ( x - 7)

( x - 7 ) ( x - 3 )

The root of the equation are 7 and 3.

The common root of both the equation is 3.