rasbuurry
19.12.2019 •
Mathematics
2. juanita is trying to find the roots for the quadratic function f(x) = x2 + 64. she argues that there is no solution. is juanita correct? justify your answer.
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Ответ:
Yes, Juanita is correct.
Step-by-step explanation:
Given:
The function given is:
The roots of a function means the values of 'x' for which the function intersects or touches the x-axis. Therefore, the roots are nothing but the x-intercepts of the function.
In order to find the roots of the above function, we should equate it to 0.
So,
We know that, square of any number is always a positive quantity. But here, the square of 'x' is -64 which is a negative number. This is not possible.
So, there is no real solution to the given function. In other words, we can say that the function doesn't intersect the x-axis.
Therefore, Juanita is correct in her argument.
Ответ: