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swat32
3 years ago
14

Without solving explain why the equations do not have solutions​

Mathematics
1 answer:
Talja [164]3 years ago
5 0
<h2>Examining the equation</h2>

We have 2 terms:

\sqrt{x+2} and \sqrt{4x+1}

For the sum of these to equal a negative number, in this case -3, one of these terms would have to be negative.

<h2>So what's the problem?</h2>

The function \sqrt{x} (square root of x) only returns positive values!

(See the attached image for a graph of \sqrt{x})

Since neither of the terms can be negative, it can't be equal to -3. In other words, no matter what we put as x, we can't solve the solution, so we say that the equation <em>does not have any solutions.</em>

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