Question

how about this one. solve for x by factoring. x squared -3x=4. show work please :)

Answer 1

x^2 -3x = 4?
x(x-3) = 4

equate to 4 each factor
x = 4; x-3 = 4

so..x=4; x = 7

Answer 2

i dont think you can necessarily do that
x(x-3) = 4 does not necessarily imply that x and x-3 would = 4

Answer 3

x^2 -3x - 4 = 0

(x - 4)(x + 1) = 0

By the Zero Product Property
x - 4 = 0 or x+1 = 0
x = 4 or x = -1.

Answer 4

you could reasonably say that "x and x-3 are factors of 4"
in which case, x=4 and x-3 =4-1 = 1 is a reasonable factor is true

but then you need another pair of x and x-3 that multiply together to get 4

Answer 5

There is NO Four Product Property.
========================

x(x-3) = 4
does NOT imply that x = 4 and (x-3) = 4 or any other values for that matter.

Answer 6

x=-1 and x-3 = -1-3 = -4 is also a true pair of factors for 4
-1*-4 = 4

although i dont think its as easy in all cases to use this kind of method, just sayin'. D: