SOLUTION: Can anyone please help with the following problem? In * sqrt of (x^2 + x over 6) = 0 I tried: In (x^2 +x over 6)^1/2 = 0 1/2 In x^2 - 1/2 In 6 = 0 But I don't know where

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Question 20728: Can anyone please help with the following problem?
In * sqrt of (x^2 + x over 6) = 0
I tried:
In (x^2 +x over 6)^1/2 = 0
1/2 In x^2 - 1/2 In 6 = 0
But I don't know where to go from there!
The teacher's answer is (-3,2)
Thanks,
Sandy

Answer by kapilsinghi(68)   (Show Source): You can put this solution on YOUR website!
In (x^2 +x over 6)^1/2 = 0
or In ((x^2 +x) over 6)^1/2 = ln(1)
taking antilog on both sides
or ((x^2 +x) over 6)^1/2 = (1)
squaring both sides
or (x^2 + x)/6 = 1
or x^2 + x = 6
or x^2 + x - 6 = 0
or x^2 + 3x - 2x - 6 = 0
or (x+3)(x-2) = 0
x = 2 or x = -3
kapilsinghi123@gmail.com

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