Question

what type of equation is this ? Need helps please to identify

Answer 1

\[0=50000x ^{3}-2700x ^{2}+10x\] when solving for x

Answer 2

it's a cubic. Since it has no constant term one of the solutions is simply x = 0
Now you can divide the equation by x and solve the quadratic equation which results using the quadratic formula. Can you do that?

Answer 3

Is that really permissible? Know that x can be 0, yet you divide by x, isn't division by zero undefined?

Answer 4

Probably meant to say factor the equation such that it looks like this:
10x(20x -1)(250x -1 ) = 0 Now divide both sides by 10 getting:
x(20x - 1)(250x - 1) = 0 Now solve.

Answer 5

You don't divide by zero in any way and there's no need to factor anything.
The reason why x = 0 is due to the fact that we can rewrite that equation as:

0*x^3 + 0*x^2 + 0*x+0 = 50000*x^3 + 2700*x^2+10*x^1+0*x

The way expressions are equated when dealing with powers of x is by equating each power individually. That's how we have:

0*x^3=50000*x^3.

Since 0 can\t be 50000 the only solution to this is 0. Same goes for everything else.

Answer 6

I dont, the message was directed to @JackJordan

Answer 7

Thanks everyone for your help, big help with my maths work :D

Answer 8

Quick question @radar would it be possible at 10x(20x -1)(250x -1 ) = 0 i divide by 10x instead of just 10

getting (20x - 1)(250x - 1) = 0

then just equating both to zero getting
x= 20, x= 250

because i am not sure how to solve 10(20x - 1)(250x - 1) = 0

Answer 9

oh wait never mind i got it, x(20x - 1)(250x - 1) = 0 i will equate all three terms to zero
then i don't have to divide x by zero like you said above(and it has three answers like it should)
so
x=0,x=20,x=250