Line g bisects line segment bc at point h. bh = 4x and hc = 24. find bc.

The length of BC is 48 units.

Step-by-step explanation:

Given information: Line g bisects line segment BC at Point H. BH = 4x and HC = 24.

It is given that line g bisects line segment BC at Point H. It means point H divides the line BC in two equal parts BH and HC.

Divide both sides by 4.

The value of x is 6.

The length of BC is

            (Segment addition property)

Therefore the length of BC is 48 units.

First thing you'll need to know is that the value for this equation is actually an approximation 'and' it is imaginary, so, one method is via brute force method.

You let f(y) equals to that equation, then, find the values for f(y) using values from y=-5 to 5, you just substitute the values in you'll get -393,-296,-225,... till when y=3 is f(y)=-9; y=4 is f(y)=48, so there is a change in signs when 'y' went from y=3 to y=4, the answer is between 3 and 4, you can work out a little bit deeper using 3.1, 3.2... You get the point. The value is close to 3.1818...

The other method is using Newton's method, it is similar to this but with a twist because it involves differentiation, so  where 'n' is the number you approximate, like n=0,1,2... etc. f(y) would the equation, and f'(y) is the derivative of f(y), now what you'll need to do is substitute the 'n' values into 'y' to find the approximation.