1.

The common root of the equations x2 - 7x + 10 = 0 and x2 - 10x + 16 = 0 :(a) –2 (b) 3 (c) 5 (d) 2

Answer»

(d) 2

x2 - 7x + 10 = 0

⇒ (x - 5)(x - 2) = 0 ⇒ x = 5,2

x2 - 10 + 16 = 0 ⇒ (x - 8)(x - 2) = 0

⇒ x = 8, 2

∴ Common root = 2.



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