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The sum of the solutions of the equation  + 2 = 0, (x > 0) is equal to  



Question ID - 57574 | SaraNextGen Top Answer

The sum of the solutions of the equation  + 2 = 0, (x > 0) is equal to  

1 Answer
127 votes
Answer Key / Explanation : (10) -

Let  = t

|t − 2| + t(t − 4) + 2 = 0

⇒ |t − 2| + t2 − 4t + 4 − 2 = 0

⇒ |t − 2| + (t − 2)2 − 2 = 0

Let |t − 2| = z         (Clearly z ≥ 0)

⇒ z + z2 − 2 = 0

⇒ z = 1 or −2 (rejected)

⇒ |t − 2| = 1 ⇒ t = 1, 3

If  = 1 ⇒ x = 1

If  = 3 ⇒ x = 9

Sum of solutions  = 10

127 votes


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