Question

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1 po
The common root of the quadratic equation x? - 3x + 2 = 0 and 2x - 5x + 2 = 0 is:
(a) x = 2
(b)x= -2
(c) =
(d) x=1
2
a​

Answer 1

x^2 - 3x + 2 = 0

x^2 - 2x - x + 2 = 0

x (x - 2) - 1( x - 2) = 0

(x - 2) (x - 1) = 0

x = 1, 2

2x^2 - 5x + 2 = 0

2x^2 - 4x - x + 2 = 0

2x (x - 2) - 1 (x - 2) = 0

(x - 2) ( 2x - 1) = 0

x = 2, 1/2

so, x= 2 is a common root