You can put this solution on YOUR website!
Can you read this OK?
It says: " There is a function called which
equals .
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You can plug in a value for on both sides like this:
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When you say " Solve the problem " , I assume you want
to find the "roots" of the equation. The roots are any and
all values of for which
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Do you understand imaginary numbers? You need to use the fact
that .
Take the square root of both sides
There are two square roots of . They are and , another answer is
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And, since ,
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So, you have two imaginary solutions to
This is always the case when the plot of the
parabola ( which the function is ) does not
cross the x-axis.
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If the function did cross the x-axis, then
the solutions would be: = value of at one of the crossings = value of at the other crossing
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To demonstrate, here's two plots,
and a parabola which actually crosses the x-axis.
Your function floats above the x-axis, so it can't
have "real" roots. They must be "imaginary"
Just keep learning how to talk about equations
before solving them. Them key is knowing exactly
what the words mean.
Good luck
