Question

Consider the rational function p=(5,125,000V2−449,000V+19307)/(125V2(1,000V−43)), does the function have a V-intercept?

Answer 1

Answer:

Sorry I could not understand your question sorry

Answer 2

Given:

Given rational function, $p=\frac{5,125,000V^2-449,000V+19307}{125V^2(1,000V-43)}$

To find:

We should find whether the given function has a $x$ intercept or not.

Solution:

Before solving the question, first we should simplify the terms in the denominator.

$\Rightarrow p=\frac{5,125,000V^2-449,000V+19307}{125V^2(1,000V-43)}$

$\Rightarrow p=\frac{5,125,000V^2-449,000V+19307}{125000V^3-5375}$

To find the value of $x$ intercept, put the value of $y=p=0$.

$\Rightarrow p=\frac{5,125,000V^2-449,000V+19307}{125000V^3-5375}$

$\Rightarrow 0=\frac{5,125,000V^2-449,000V+19307}{125000V^3-5375}$

$\Rightarrow 0={5,125,000V^2-449,000V+19307}$

$\Rightarrow 5,125,000V^2-449,000V+19307=0$

Now, find the value of discriminant.

$\Rightarrow b^2-4ac$

$\Rightarrow (-449,000)^2-4\times5,125,000\times19307 <0$

As the discriminant value is less than 0. It does not have any real roots. It will have only imaginary roots.

The above equation contains imaginary roots. So, it does not have any $x$ intercepts.

Therefore, given rational function does not have any $x$ intercept.