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Re: If 7<x^2-4x+12, which of the following MUST be true? [#permalink]
Can someone throw more light on this Q
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Re: If 7<x^2-4x+12, which of the following MUST be true? [#permalink]
Expert Reply
Particularly what is your doubt ?

above was provided three different approaches
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Re: If 7<x^2-4x+12, which of the following MUST be true? [#permalink]
I don't understand the correlation between the quadratic equation and the 3 options. Like does one approach the 3 options individually like mentioned in 2nd approach, in that case how is the quadratic eqn even relevant
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If 7<x^2-4x+12, which of the following MUST be true? [#permalink]
Expert Reply
In a nutshell and going very simplistic

our stem boils down to (x-2)^2

Takink the square root of this and you are left with (x-2) or x=2

In the first statement substitute and you have that

1) \(3^{2-2}=3^0=1\) and this is true 1>0

2) \(|8+1|> 0\) or 9>0 in absolute value but this is not always true can be 9>0 or -9>0

3) \(\sqrt{(x+2)^2}\) = root of \(4^2\) = root of 4 >0 which is true. But also we do know that root of 4 can be also -2

only 1) is true

I hope this helps
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