Question

if x2-6x+5=0 and x2+3ax+35=0 have a common root then find a=?​

Answer 1

Answer:

The roots of the equation x2 – 6x + 5 = 0 are (x – 1) (x – 5) = 0 ⇒ x = 1, x = 5 Case (i) : x = 1 is a common root then it is also root for the equation x2 – 3ax + 35 = 0 ⇒ 1 – 3a(1) + 35 = 0 ⇒ a = 36/3 = 12 Case (ii) : x = 5 is a common root then (5)2 – 3a(5) + 35 = 0 ⇒ 60 – 15a = 0 ⇒ a = 4 ∴ a = 12

Answer 2

Step-by-step explanation:

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