Question

The common root of the quadratic equations x² -5x+6=0 and x² -10x+21=0 is *



2

3

7

​

Answer 1

Answer :-

3 and 7 is the common root of the equation x^2- 10x +21 =0 .

Explanation :-

x^2 - 10 x +21 = 0

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

=> x ( x -7) -3 ( x -7 ) =0

=> (x -3) ( x -7 )=0

=> x = 3 or x = 7

Therefore , the common roots of the equation x ^2- 10x + 21 = 0

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