Question

Which of the following is the equation for X: ax^2 = bx? Select all that apply.

1.) x = a
2.) x = b
3.) x = 0
4.) x = -b/a
5.) x = b/a
6.) x = ab

Answer 1

`\rm ax^2=bx`

apply subtraction,


`\rm ax^2-bx=0`

factor out an x,


`\rm x(ax-b)=0`

apply your Zero-Factor Property,


`\rm x=0\qquad\qquad\qquad ax-b=0`

And then solve for x in each case.
Clearly the first factor gives us x=0.

In the other factor tho,
add b,
then divide by a,


`\rm x=\frac b a`