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anonymous
 5 years ago
√(x+16)=x+4
anonymous
 5 years ago
√(x+16)=x+4

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0square both sides x+16=(x+4)^2 (x+4)^2 is the same as (x+4)(x+4)= x^2+8x+16 x+16=x^2+8x+16 subtract both sides by 16 x=x^2+8x subtract both sides by x 0=x^2+8xx 8xx=7x 0=x^2+7x Factor out an x 0=x(x+7) Now you have to find at what value of x the equation is equal to 0. The obvious one is x=0 because: 0*(0+7) is 0 The other one is x=(7) 7*(7+7)=7*(0)=0 So x= 7, 0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0whoa, are you wearing a bra

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x=0 is correct. Radical 16 = 4. at x=7, 3 radical 9 is not equal to 3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0"3 radical 9" should have been posted as "radical 9"

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0There is no negative sign, explicit or inferred as far as I can see, in front of the radical sign in your problem statement. If you replace x with 7 in your problem equation and do the math, you will get on the left hand side, \[\sqrt{7+16}=3 \] On the right and side you will get 7+4=3. 3 is unequal to 3. In other words 7 is not a solution to the problem as presented.
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