Question

Solve:

Answer 1

a) {-4, 2}
b) {-2, 4}
c) {}

Answer 2

The first step is to cross multiply :
\[\Large \frac{x+4}{4} =\frac{x}{x-2} \]

\[\Large 4(x) = (x+4)(x-2)\]

Answer 3

what do you do next?

Answer 4

Simplify on both sides. So you multiply 4 by x to get

4x

and (x+4) by (x-2)

Do you know how to do that last part ?

Answer 5

not right off

Answer 6

Het thomas ;)

Answer 7

I'm sorry I'm back. Basicaly you do what is called FOILing in order to find the appropriate expression. You can practice here: http://www.mesacc.edu/~scotz47781/mat120/notes/polynomials/foil_method/foil_method_practice.html


Foil stands for:

First
Outer
Inner
Last

Basically a systematic way to multiply each other together:
\[\Large (x+4)(x-2) = (x*x) + (x)(-2) + (4)(x) + (4)(-2)\]

Answer 8

and at no point in time were you wrong

Answer 9

Basically you get 4x on the left hand side and the RHS is \[\Large (x+4)(x-2) = x^2-2x-8\]

Answer 10

1

Answer 11

so is the awnser -4 and 2

Answer 12

\[\Large 4x = x^2-2x-8\]

Solving for x gets you \[\Large 4x - \color{blue}{4x} = x^2-2x-8 - \color{blue}{4x}\]
\[\Large 0 = x^2-6x-8\]

(x+2)(x-4)

x= -2
x = 4

Answer 13

thank you